A8.
Proc. Progress in Cryptology – Indocrypt 2024 (S. Mukhopdhyay, P. Stanica, eds.), 2024,
Springer LNCS, https://link.springer.com/book/10.1007/978-3-031-80308-6,
https://link.springer.com/book/10.1007/978-3-031-80311-6
(two parts).
A7.
Proc. 3rd International Conference on Security
& Privacy (ICSP 2021) (P. Stanica, S. Mesnager, S. K. Debnath,
eds.), 2024, Springer CCIS.
A6.
Proc. 2nd International Conference on Security
& Privacy (ICSP 2021) (P. Stanica, S. Mesnager, S. K. Debnath,
eds.), 2021, Springer CCIS 1497: https://link.springer.com/book/10.1007/978-3-030-90553-8
A5.
Proc. 1st International Conference on Security
& Privacy (ICSP 2020) (P. Stanica, S. Gangopadhyay, S. K. Debnath,
eds.), 2021, Springer LNEE 744: https://www.springer.com/gp/book/9789813367807
A4. Book: Cryptographic Boolean Functions and Applications 2nd Ed. (with
T.W. Cusick), Academic Press - Elsevier, March 2017.
(see the publisher site: https://www.elsevier.com/books/cryptographic-boolean-functions-and-applications/cusick/978-0-12-811129-1,
but you can find it on Amazon, or elsewhere)
A3. Book: Cryptographic Boolean Functions and Applications 1st Ed. (with
T.W. Cusick), Academic Press - Elsevier, March 2009. (see the publisher
site: https://www.elsevier.com/books/cryptographic-boolean-functions-and-applications/cusick/978-0-12-374890-4,
but you can find it on Amazon, or elsewhere)
A2. Proc. 14th International Conference on Fibonacci Numbers (eds. F. Luca, P. Stanica), Aportaciones Matematicas, Investigacion 20, Sociedad Matematica Mexicana, 2011.
A1. Proc. 13th International Conference on Fibonacci Numbers (eds. F. Luca, P. Stanica), Utilitas Mathematica, Congressus Numerantium Vol. 201, January 2010.
Research Papers Submitted/In Progress
215. D.
Bartoli, M. Pal, P. Stanica, T. Toccotelli, A proof of a conjecture on trivariate permutations, manuscript.
214. D. Bartoli, M. Pal, P. Stanica, A proof of a conjecture on
permutation polynomials, manuscript.
213. R. Radheshwar, D. Roy, P. Stanica, Multipath
PA-PUFs generate all Boolean functions, manuscript.
212. C. Li, C. Riera, P. Sarkar, P. Stanica, On the Codebook Design for
NOMA Schemes from Bent Functions, manuscript.
211. S. Andreoli, E. Piccione, L. Budaghyan, P. Stanica, S. Nikova,
On Decompositions of Permutations in Quadratic Functions, manuscript.
210. C. Riera, P. Stanica, H. Yan, The
c-differential spectrum of x-> x^((p^n+1)/2) in finite fields of odd characteristics, manuscript.
Published refereed research papers (be aware that these are mostly my
copies: for a full article, check the journal version)
2025
209.
S. Ul Hasan, K. Garg, P. Stanica, The
differential properties of certain permutation polynomials over finite fields,
International Journal of Foundations of Computer Science, 2025.
208. S. Ul Hasan, K. Garg, C. Riera, P.
Stanica, The
revised boomerang connectivity tables and their connection to the difference
distribution table, Designs, Codes & Cryptography, 2025.
207. S. Ul Hasan, K. Garg, C. Riera, P.
Stanica, The
second-order zero differential spectra of some functions over finite fields,
Cryptography & Communications – CCDS, 2025.
206.
S. Ul Hasan, K. Garg, C. Riera, P. Stanica, The
second-order zero differential spectra of some APN and other maps over finite
fields, Journal of Algebra and its Applications, 2025.
205. M. Pal, P. Stanica, A
connection between the boomerang uniformity and the extended differential in
odd characteristic and applications, Advances in Mathematics of
Communications, 2025.
204.
S.
Maitra, C.-S. Mukherjee, P. Stanica, D. Tang, Interplay
between Resiliency and Polynomial Degree - Recursive Amplification, Higher
Order Sensitivity and Beyond, Discrete Applied Mathematics 365
(2025), 138-159.
203.
A. Roy,
D. Roy, P. Stanica, On
combining Arbiter PUFs, Cryptography & Communications – CCDS,
2025.
2024
202. F.
Luca, S. Sarkar, P. Stanica, Representing the inverse
map as a composition of quadratics in a finite field of characteristic 2,
Cryptography & Communications – CCDS, https://doi.org/10.1007/s12095-024-00702-5.
201. Y. Wu, P. Stanica, C. Li, X. Xeng,
Bivariate functions with low
c-differential uniformity, Finite Fields & Applications 96
(2024), Art. 102422.
201. C. Li, C. Riera, P. Stanica and P. Sarkar, On the codebook design for NOMA schemes
from bent functions, Extended Abstract, Boolean Functions and Their
Applications 2024, Paper #2.
200. D. Bartoli, M. Pal and P. Stanica, A conjecture on permutation trinomials,
Extended Abstract, Boolean Functions and Their Applications 2024, Paper #1.
199. D. Bartoli, M. Pal and P. Stanica, A Conjecture on Trivariate Permutations, Extended Abstract, Sequences
and Their Applications SETA 2024, Paper #40.
198. A.M. Stanica, G. Stanica, P. Stanica, Closed forms of
rationally weighted binomial sums via calculus methods, Fibonacci
Quarterly 62:1, 45-56 (2024).
197. K. Garg, S. Ul Hasan, P. Stanica, Boomerang uniformity of some classes
of functions, Discrete Applied Mathematics 343, 166-179 (2024).
196.
F. Luca, P.
Stanica, Asymptotics on a class of
S-unit integers, Periodica
Mathematica Hungarica 88, 266-272 (2024).
195. N. Anbar, T. Kalayci, W. Meidl, C. Riera, P. Stanica, PpN functions, complete mappings and
quasigroup difference sets, J. Combinatorial Designs,
https://doi.org/10.1002/jcd.21916
2023
194. A.K. Gangopadhyay, V.
Kumar, P. Stanica, S. Gangopadhyay, Stability
of cryptographic Boolean functions, J. Applied Mathematics and
Computing 69, 3337–3357 (2023).
193. N. Kaleyski, K. Nesheim, P. Stanica, An infinite family of o-APN monomials with
two parameters, Cryptography & Communications - CCDS 15,
1139–1169 (2023).
192. K. Garg, S. Ul Hasan, C. Riera, P.
Stanica, The second-order
zero differential spectra of power maps, Extended Abstract, Boolean
Functions & Applic. (BFA), 2022, Paper #8.
191. F. Luca, S. Sarkar, P. Stanica, A new method to represent the
inverse map as a composition of quadratics in a binary finite field,
Extended Abstract, Boolean Functions & Applic.
(BFA), 2022, Paper #2.
190. S. Maitra, P. Stanica, An
Overview and Concerns Related to Quantum Cryptanalysis – Past, Present &
Future, IEEE Computer 56:10 (2023), invited column article, 86-92.
189. V. Srivastava, S. K. Debnath, P. Stanica, S. Pal, A Multivariate
Identity-Based Broadcast Encryption with Applications to the Internet of Things,
Advances in Math Communications 17:6 (2023), 1302-1313.
188. C. Riera, M. Parker, P. Stanica, Quantum states associated to mixed graphs
and their algebraic characterization, Advances in Math Communications
17:3 (2023),
660-680.
187. P. Stanica, Using double Weil sums in
finding the c-Boomerang Connectivity Table for monomial functions on finite
fields, Applicable Algebra in Engineering, Communication and
Computing 34 (2023), 581-602.
186. S. K. Debnath, T. Choudhury, P. Stanica, K. Dey, N. Kundu,
Delegating Signing
Rights in a Multivariate Proxy Signature Scheme, Advances in Math
Communications 17:3 (2023), 681-696.
2022
185. V. Kanth, T. Martinsen, P.
Stanica, The Self-Shrinking
Conflation Generator: A Proposed Improvement to the Self-Shrinking Generator,
European J. Pure and Applied Math., 15:5 (2022), 1426-1443.
184. A. O. Gomez-Flores, L. A. Medina, P. Stanica, Recursions for modified
Walsh transforms of some families of Boolean functions, Rocky
Mountain J. Math. 52(4): 1355-1373.
183. K. Dey, S. K. Debnath, P. Stanica, A Post-Quantum Signcryption
Scheme Using Isogeny Based Cryptography, Journal of Information
Security and Applications 69 (2022), Art.103280.
182. S. Ul Hasan, M. Pal, P. Stanica, The binary Gold
function and its c-boomerang connectivity table, Cryptography & Communications
14 (2022), 1211-1227.
181. C. Li, C. Riera, P. Stanica, Dillon's switching method generalized to
c-differentials, Extended Abstract, Boolean Functions & Applic. (BFA), 2022, Paper #1.
180. K. Garg, S. Ul Hasan, P. Stanica, Boomerang uniformity of some classes of
functions, Extended Abstract, Boolean Functions & Applic. (BFA), 2022, Paper #8.
179. N. Kaleyski, K. Nesheim, P. Stanica, A doubly-infinite family of 0-APN
monomials, Extended Abstract, Boolean Functions & Applic. (BFA), 2022, Paper #26.
178. A. Salagean, P. Stanica, Improving bounds on probabilistic
affine tests to estimate the nonlinearity of Boolean functions, Cryptography
& Communications - CCDS 14 (2022), 459-481.
177. D. Bartoli, M. Calderini, C. Riera, P. Stanica, Low c-differential uniformity for
functions modified on subfields, Cryptography & Communications -
CCDS 14 (2022), 1211–1227.
176. L. Budaghyan, N. Kaleyski, C. Riera, P. Stanica, On the behavior of some APN permutations
under swapping points, Cryptography & Communications - CDS 14
(2022), 319-345.
175. P. Stanica, C-differential
uniformity for functions constructed via the Maiorana-McFarland bent function,
Workshop on Coding & Cryptography, WCC 2022, Paper #37.
174. S. Maitra, C.S. Mukherjee, P. Stanica, D. Tang, On Boolean Functions with Low
Polynomial Degree and Higher Order Sensitivity, Workshop on Coding
& Cryptography, WCC 2022, Paper #3.
173. S. Ul Hasan, M. Pal, P. Stanica, C-differential uniformity and
boomerang connectivity table of two classes of permutation polynomials,
IEEE Transactions on Information Theory. 68:1 (2022), 679-691.
172. P. Stanica, A. Geary, C. Riera, A. Tkachenko, C-differential bent functions and perfect
nonlinearity, Discrete Applied Mathematics 307 (2022), 160-171.
2021
171. P. Stanica, Low c-differential and c-boomerang
uniformity of the swapped inverse function, Discrete Mathematics,
344:10 (2021), 112543.
170. A. Geary, M. Calderini, C. Riera, P. Stanica, Higher Order c-Differentials,
In: Proc. International Conf. on Security and Privacy, Springer (ICSP
2021) (eds. P. Stanica, S. Mesnager, S.K. Debnath), Communications and
Information Science 1497, Springer-Cham.
169. P. Stanica, C. Riera, A. Tkachenko, Characters, Weil sums and c-differential uniformity with an
application to the perturbed Gold function, Cryptography &
Communications - CCDS 13 (2021), 891-907.
168. S. Ul Hasan, M. Pal, P. Stanica, Boomerang uniformity of a class
of power maps, Designs, Codes and Cryptography 89 (2021), 2627-2636.
167. P. Ellingsen, C. Riera, P. Stanica, A. Tkachenko, An extension of the avalanche
criterion in the context of c-differentials, The 18th International
Conference on Security and Cryptography (SECRYPT 2021), 460-467.
166. S. Mesnager, C. Riera, P. Stanica, H. Yan, Z. Zhou, Investigation on
c-(almost) perfect nonlinear functions, IEEE Transactions on
Information Theory, 67:10 (2021), 6916-6925.
165. P. Stanica, Investigations
on c-Boomerang Uniformity and Perfect Nonlinearity, Discrete Applied
Mathematics 304 (2021), 297-314.
164. P. Stanica, A
Boolean functions view on the Golay-Rudin-Shapiro sequence, Journal
of Combinatorics and Number Theory 11:3 (2021).
163. S. Ul Hasan, M. Pal, P. Stanica, The (generalized) boomerang uniformity
of some classes of functions over finite fields,
Boolean Functions & Applic. (BFA), 2021, Paper
#3.
162. J. C. Arunagiri, V. S. Poonia, P. Stanica, S. Gangopadhyay, A quantum algorithm to verify the Strict
Avalanche criterion in Boolean functions, Boolean Functions & Applic. (BFA), 2021, Paper #17.
161. D. Bartoli, M. Calderini, C. Riera, P. Stanica, Low c-differential uniformity for
functions modified on subfields, Boolean Functions & Applic. (BFA), 2021, Paper #23.
160. S. Ul Hasan, M. Pal, C. Riera, P. Stanica, On the c-differential uniformity
of certain maps over finite fields, Designs, Codes and Cryptography
89 (2021), 221-239.
159. P. Stanica, A. Geary, The c-differential behavior of the
inverse function under EA-equivalence, Cryptography &
Communications - CCDS 13 (2021), 295-306.
158. C. Riera, T. Roy, S. Sarkar, P. Stanica, A hybrid inversive congruential pseudorandom
number generator with high period, European Journal of Pure and
Applied Mathematics, 14:1 (2021), 1-18.
157. P. Stanica, Low
c-differential uniformity of the Gold function modified on a subfield, Proc.
International Conf. on Security and Privacy, Springer (ICSP 2020), LNEE
744, Springer 2021, pp. 131-137.
156. N. Kundu, K. Dey, P. Stanica, S. K. Debnath, S. Pal, Post-Quantum Secure Identity Based
Encryption from Multivariate Public Key Cryptography, Proc.
International Conf. on Security and Privacy, Springer (ICSP 2020), LNEE
744, Springer 2021, pp. 139-149.
155. B. Mandal, S. Maitra, P. Stanica, On the existence and non-existence
of some classes of bent-negabent functions, Applicable Algebra in
Engineering, Communication and Computing, 2021.
154. S. Gangopadhyay, C. Riera, P. Stanica, Gowers U2 norm as a measure of
nonlinearity for Boolean functions and their generalizations, Advances
in Math. Communications 15:2 (2021), 241-256.
153. S.K. Debnath, P. Stanica, N. Kundu, R. Dutta, Secure and efficient
multiparty private set intersection cardinality, Advances in Math
Communications 15:2 (2021), 365-386.
2020
152. F. Luca, S. Mabaso, P.
Stanica, On
the prime factors of the iterates of the Ramanujan tau-function, Proc. Edinburgh Mathematical Society 63:4 (2020), 1031-1047.
151. S.K. Debnath, P. Stanica, N. Kundu, A.K. Debnath, Post quantum protocol for computing set
intersection cardinality with linear complexity, IET Information
Security 14:6 (2020), 661-669.
150. S. Li, W. Meidl, A. Polujan, A. Pott., C. Riera, P. Stanica, Vanishing Flats: A Combinatorial
Viewpoint on the Planarity of Functions and Their Applications, IEEE
Trans. Inf. Theory 66:11 (2020), 7101-7112.
149. A. Salagean, P. Stanica, Estimating the nonlinearity of
Boolean functions using probabilistic linearity tests, Sequences and
Their Applications - SETA 2020, Art. 45.
148. L. Budaghyan, N. Kalyeski, C. Riera, P. Stanica, On the sensitivity of some permutation
APN functions to swapping points, Sequences and Their Applications -
SETA 2020, Art. 9.
147. C.A. Jothishwaran, S. Gangopadhyay, C. Riera, P. Stanica,
A quantum algorithm, for
the estimation of the Gowers U2 norm and linearity tests of Boolean functions, Quantum Information Processing 19:311
(2020).
146. M. Hopp, P. Ellingsen, C. Riera, P. Stanica, Thickness distribution of Boolean
functions in 4 and 5 variables and a comparison with other cryptographic
properties, Annales Mathematicae et Informaticae 52 (2020), 117-135.
145. L.A Medina, M.G. Parker, C. Riera, P. Stanica, Root-Hadamard transforms and
complementary sequences, Cryptography & Communications - CCDS
12 (2020), 1035-1049.
144. L. Budaghyan, N.S. Kaleyski, C. Riera, P. Stanica, Partially APN functions with APN-like
polynomial representations, Designs, Codes and Cryptography 88
(2020), 1159-1177.
143. P. Ellingsen, P. Felke, C. Riera, P. Stanica, A. Tkachenko, C-differentials, multiplicative
uniformity, and (almost) perfect c-nonlinearity, IEEE Trans. Inf. Theory
66:9 (2020), 5781-5789.
142. C. Riera, P. Stanica, S. Gangopadhyay, Generalized bent Boolean functions and
strongly regular graphs, Discrete Applied Mathematics 283:15 (2020),
367-374.
141. L. Budaghyan, N.S. Kaleyski, S. Kwon, C. Riera, P. Stanica, Partially APN Boolean functions and
classes of functions that are not APN infinitely often, Cryptography
& Communications - CCDS 12 (2020), 527-545.
140. S. Maitra, B. Mandal, T. Martinsen, D. Roy, P. Stanica, Analysis on Boolean function in a restricted
(biased) domain, IEEE Trans. Inf. Theory 66:2 (2020), 1219-
1231.
2019
139. S. Mesnager, C. Riera,
P. Stanica, Multiple
characters transforms and generalized Boolean functions, Cryptography
& Communications - CCDS 11:6 (2019), 1247-1260.
138. A.N. Siddhanti, S. Bodapati, A. Chattopadhyay, S. Maitra, D. Roy, P.
Stanica, Analysis of the Strict
Avalanche Criterion in variants of Arbiter-based Physically Unclonable
Functions, Proc. Indocrypt 2019, Springer-Verlag, LNCS,
pp. 555-577.
137. F. Luca, P. Stanica, Perfect
squares as concatenation of consecutive integers, American Math.
Monthly 126:8 (2019), 728-734.
136. P. Stanica, B. Mandal, S. Maitra, The connection between quadratic
bent-negabent functions and the Kerdock code, Applic. Algebra in
Eng., Communic. and Comp. 30:5 (2019), 387-401.
135. C. Riera, P. Stanica, Landscape Boolean functions, Advances
in Math. Communications 13:4 (2019), 613-627.
134. Q. Wang, P. Stanica, A
trigonometric sum sharp estimate and new bounds on the nonlinearity of some
cryptographic Boolean functions, Designs, Codes, Crypt. 87:8 (2019), 1749-1763.
133. D. Bera, S. Maitra, D. Roy, P. Stanica, Limitations of the BLR testing in
estimating nonlinearity, Workshop on Cryptography & Coding,
Rennes, France 2019.
132. S. Gangopadhyay, C. Riera, P. Stanica, Gowers U2 norm of Boolean functions
and their generalizations, Workshop on Cryptography & Coding,
Rennes, France 2019.
131. Q. Wang, P. Stanica, Transparency order for Boolean
functions: analysis and construction, Designs, Codes and
Cryptography 87:9 (2019), 2043-2059.
130. Q. Wang, P. Stanica, A new upper bound for the
covering radius of the second order Reed-Muller code of length 128, Cryptography
and Communications, 11:2 (2019), 269-277.
129. L. Budaghyan, P. Stanica, What is... a cryptographic Boolean
function? (invited paper), Notices of American Math.
Society 66:1 (2019), 60-63.
128. B.
Mandal, P. Stanica, S. Gangopadhyay, New classes of p-ary
bent functions, Cryptography and Communications 11
(2019), 77-92.
2018
127. S. Maitra, B. Mandal, T.
Martinsen, D. Roy, P. Stanica, Tools
in analyzing linear approximations of Boolean functions related to FLIP,
Proc. Indocrypt 2018, Springer-Verlag, LNCS 11356, 283-303.
126. L. Budaghyan, N.S. Kaleyski, S. Kwon, C. Riera, P. Stanica,
Partially APN Boolean functions,
Proc. of Sequences and Their Applications (SETA 2018), Hong Kong, 2018.
125. P. Stanica, T. Sasao, J.T. Butler, Distance duality on some
classes of Boolean functions, J. Combin. Math. and
Combin. Computing 107 (2018), 181-198.
124. S. Gangopadhyay, B. Mandal, P. Stanica, Gowers U3 norm of Maiorana-McFarland
bent Boolean functions, Designs, Codes & Cryptography 86:5
(2018), 1131-1148.
123. T. Martinsen, W. Meidl, A. Pott, P. Stanica, On symmetry and differential
properties of generalized Boolean functions, Proc. WAIFI: Arithmetic of
Finite Fields, 2018; (won the best paper award)
122. F.N. Castro, L.A. Medina, P. Stanica, Generalized Walsh transforms of
symmetric and rotation symmetric Boolean functions are linear recurrent, Applicable
Algebra in Engineering, Communication and Computing 29:5 (2018), 433-453.
121. C. Riera, P. Sole, P. Stanica, A complete characterization
of plateaued Boolean functions in terms of their Cayley graphs, Proc. Africacrypt (Marrakesh-Morroco),
LNCS, Springer-Verlag LNCS 10831, 2018, pp. 3-10.
120. S. Gangopadhyay, G. Paul, A.K. Saini, N. Sinha, P. Stanica, Generalized nonlinearity of S-boxes,
Advances on Mathematics of Communications 121:1 (2018), 115-122.
2017
119. T. Martinsen, W. Meidl,
S. Mesnager, P. Stanica, Decomposing generalized bent
and hyperbent functions, IEEE Trans. Information Theory 63:12
(2017), 7804-7812.
118. T. Martinsen, W. Meidl, P. Stanica, Partial spread and vectorial
generalized bent functions, Designs, Codes & Cryptography 85:1
(2017), 1-13.
117. E.J. Ionascu, T. Martinsen, P. Stanica,
Bisecting binomial coefficients,
Discrete Applied Math 227 (2017), 70-83.
116. G. N. Stanica, P. Stanica, Recurrences for entries of powers of
matrices, Fibonacci Quarterly 55:5 (2017) (Proc. Intern.
Conf. Fib. Numbers and Applications 2016), 166-173.
115. T. Martinsen, W. Meidl, P. Stanica, Generalized bent functions and their Gray
images, Proc. of WAIFI 2016: Arithmetic of Finite Fields, LNCS 10064
(2017), 160-173.
114. S. Gangopadhyay, S. Maitra, N. Sinha, P. Stanica, Quantum Algorithms
related to HN-Transforms of Boolean Functions, Proc. C2SI-Carlet
2017: Codes, Cryptology and Information Security, LNCS 10194, 2017, pp.
314-327.
113. F. Luca, P. Stanica, Monotonic phinomial
coefficients, Bulletin Australian Math Soc. 95 (2017), 365-372.
112. B. Mandal, S. Gangopadhyay, P. Stanica, Cubic Maiorana-McFarland bent functions
with no affine derivatives, International
J. Computer Mathematics 2(1), 1-14.
111. S. Gangopadhyay, A. Gangopadhyay, S. Pollatos, P. Stanica, Biased cryptographic Boolean functions,
Cryptography and Communications (Discrete Structures, Boolean
Functions and Sequences) 9:2 (2017), 301-314.
110. S. Gangopadhyay, E. Pasalic, P. Stanica, S. Datta, A note on non-splitting Z-functions,
Information Processing Letters 121 (2017), 1-5.
109. F. Luca, P. Stanica, Counting permutation equivalent
degree six binary polynomials invariant under the cyclic group, Applicable
Algebra in Engineering, Communication and Computing 28 (2017), 1-10.
2016
108. P. Stanica, S. Gangopadhyay, E.
Pasalic, B. Mandal, An analysis of the
C class of bent functions, Fundamenta Informaticae 146 (2016),
1-22.
107. C. Etherington, M. Anderson, E. Bach, J. Butler, P. Stanica, A parallel approach in computing correlation
immunity in six variables, International Journal of Foundations of Computer
Science 27:4 (2016), 511-528.
106. P. Stanica, Weak and
strong 2^k-bent functions, IEEE Trans.
Information Theory 62:5 (2016), 2827-2835.
105. F. Luca, P. Stanica, On
Fibonacci numbers which are elliptic Carmichael, Periodica
Mathematica Hungarica 72:2 (2016), 171-179.
104. Yu. Bilu, T. Komatsu, F. Luca, A.
Pizarro-Madariaga, P. Stanica, On a divisibility relation for Lucas
sequences, J. Number Theory 163 (2016), 1-18.
103. S. Gangopadhyay, P. Stanica, Fourier Entropy-Influence Conjecture for
Cryptographic Boolean Functions, Special issue on "Advances in
Cryptology and Information Security" in Transactions on Advanced
Research, Vol. 12:2, (2016), 8-14.
102. C. Carlet, D. Joyner, P. Stanica, D. Tang, Cryptographic properties of monotone
Boolean functions, Journal of Mathematical Cryptology 10:1 (2016),
1-14.
101. F. Zhang, S. Xia, P. Stanica, Y. Zhou, Further results on constructions of
generalized bent Boolean functions, Inform. Sciences - China.
59 (2016), 1-3.
100.T.W. Cusick, P. Stanica, Counting
equivalence classes for monomial rotation symmetric Boolean functions with
prime dimension, Cryptography and Communications (Discrete
Structures, Boolean Functions and Sequences) 8:1 (2016), 67-81.
2015
99. D. Canright, J.H. Chung, P.
Stanica, Circulant matrices
and affine equivalence of monomial rotation symmetric Boolean functions,
Discrete Mathematics Journal 338:12 (2015), 2197-2211.
98. C. Martinsen, P. Stanica, Asymptotic behavior of gaps between
roots of weighted factorials, Fibonacci Quarterly 53:3
(2015), 213-218.
97. P. Stanica, Affine Equivalence of
Quartic Monomial Rotation Symmetric Boolean Functions in Prime Power Dimension, Information Sciences 314
(2015), 212-224.
96. F. Luca, P. Stanica, On Fibonacci numbers which are
elliptic Korselt numbers, Proc. International Conf. Fibonacci
Numbers and Applications, 2014.
95. P. Stanica, Normic
continued fractions in totally and tamely ramified extensions of local fields,
Proc. International Conf. Fibonacci Numbers and Applications, 2014.
94. F. Luca, P. Stanica, On numbers of the form p+2^n-n,
J. Combinatorics and Number Theory 6:3 (2015), 157-162.
93. W. Banks, C. Finch, F. Luca, C. Pomerance, P.
Stanica, Sierpinski
and Carmichael Numbers, Transactions of AMS. 367 (2015),
355-376.
92. J.H. Chung, P. Stanica, C.H.
Tan, Q. Wang, A construction of Boolean
functions with good cryptographic properties, International J.
Computer Mathematics (2015), 700-711.
2014
91. F. Luca, P. Stanica, Equations with arithmetic functions of Pell numbers,Bull. Math Soc. Math. Roumanie Tome 57(105), No. 4 (2014), 409-413.
90. Q. Wang, C.
Carlet, P. Stanica, C.-H. Tang, Cryptographic
Properties of the Hidden Weighted Bit Function, Discrete Applied
Mathematics 174 (2014), 1-10.
89. Q. Wang, C.-H. Tan, P. Stanica, Concatenations of the hidden weighted bit
function and their cryptographic properties, Advances in
Math. Communications 8:2 (2014), 153-165.
88. P. Pace, P. Stanica, B. Luke, T.
Tedesso, Extended Closed-form
Expressions for the Robust Symmetrical Number System Dynamic Range and An
Efficient Algorithm for its Computation, IEEE Transactions on
Information Theory 60:3 (2014), 1-11.
87. F. Luca, P. Stanica, On the first digits of the Fibonacci
numbers and their Euler function, Uniform Distribution Theory
Journal 9:1 (2014), 21-25.
86. M. E. McCay, J. T. Butler,
and P. Stanica, Using a
reconfigurable computer to compute algebraic immunity, in B. Steinbach
(Editor): Recent Progress in the Boolean Domain, Cambridge Scholars Publishing, Newcastle upon
Tyne, UK, 2014, Section 3.3, pp. 170-185 (extended version of IWSBP 2012 manuscript).
2013
85. F.
Luca, P. Stanica, The
Euler function of Fibonacci and Lucas numbers and factorials,
Annales Univ. Sci. Budapest., Sect. Comp 41 (2013),
119-124.
84. F. Luca, P. Stanica, A. Yalciner, When
do Fibonacci invertible classes modulo M form a subgroup?, Annales
Mathematicae et Informaticae
41 (2013), 254-270 (Proc. 15th International Conference on Fibonacci
Numbers and Their Applications).
83. P. Stanica, T. Martinsen, S. Gangopadhyay, B. Kumar Singh, Bent and Generalized Bent Boolean Functions, Designs, Codes and Cryptography 69:1 (2013),
77-94.
82. S. Gangopadhyay, E. Pasalic, P. Stanica,
A note on generalized bent
criteria for Boolean functions, IEEE Trans. Information Theory
59:5 (2013), 3233-3233.
81. F. Luca, P. Stanica, On some conjectures on the
monotonicity of some arithmetical sequences, J. Combinatorics
and Number Theory 4:2 (2013), 39-47.
80. E. Kilic, P. Stanica, General approach on sums of products of binary
sequences, Hacettepe J.
Math. Stat. 42:1 (2013), 1-7.
79. P. Stanica, S. Sarkar, S.G. Gupta, S. Maitra, N. Kar, Counting Heron triangles with constraints,
Integers 13 (2013), #A3.
78. E. Kilic, P. Stanica, The inverse of banded matrices,
Journal of Computational and Applied Mathematics 237 (2013), 126-135.
2012
77. M.E. McCay, J.T. Butler, P. Stanica, Computing Algebraic Immunity by Reconfigurable
Computer, Proceedings of the 10th International Workshop on Boolean
Problems, Freiberg, Germany, Sept. 2012, 225-232.
76. P.
Stanica, S. Gangopadhyay, A. Chaturvedi, A.K. Gangopadhyay, S.
Maitra, Investigations on bent and
negabent functions via the nega-Hadamard transform,
IEEE Transactions Inform. Theory 58:6 (2012), 4064-4072.
75. F. Luca, P. Stanica, On the Euler function of the Catalan numbers,
J. Number Theory 132
(2012), 1404-424.
74. J. Fox, R. Gera, P. Stanica, The Independence Number for the Generalized
Petersen Graphs, Ars Combinatoria 103 (2012),
439-451.
2011
73. E. Kilic, P. Stanica, Generating matrices of C-nomial coefficients and their spectra, Proc.
International Conf. Fibonacci Numbers & Applic. (F.
Luca, P. Stanica, Eds., Aportaciones Matematicas, Sociedad Matematica
Mexicana, 2011,
91-96.
72. T.W. Cusick, P. Stanica, Nonoverlap property of the Thue-Morse sequence, Proc. International Conf.
Fibonacci Numbers & Applic. (F. Luca,
P. Stanica, Eds.), Aportaciones Matematicas, Soc. Matematica
Mexicana, 2011,
139-154.
71. E. Kilic, P. Stanica, Factorizations
and representations of binary polynomial recurrences by matrix methods,
Rocky Mountain Journal of Mathematics 41:4 (2011), 1247-1264.
70. D. Canright, S. Gangopadhyay, S. Maitra, P.
Stanica, Laced Boolean functions and
subset sum problems in finite fields, Discrete Applied Mathematics
159 (2011), 1059-069.
69. C. Chun, P. Stanica, B. Neta, Recurrence
relations for a third-order family of methods in Banach Spaces, Computers
& Mathematics with Applications 61 (2011), 1665-675.
68. T.W. Cusick, Y. Li, P. Stanica,
On a Combinatorial Conjecture,
Integers 11 (2011), 185-203; also, Electronic J. Combinatorial
Number Theory 11 (2011), Art.#17, 17pp.
67. E. Kilic, P. Stanica, A matrix
approach for general higher order linear recurrences, Bulletin of
the Malaysian Mathematical Sciences Society 34:1 (2011), 51-67.
66. R. Gera, P. Stanica,The
Spectrum of the Generalized Petersen Graphs, Australasian Journal of Combinatorics 49 (2011),
39-45.
2010
65. E. Kilic, P. Stanica, The Lehmer matrix and its recursive analogue, J. of Combinat. Math. and Combinat.Computing
74 (2010), 193-205.
64. P. Stanica, A. Chaturvedi, A. Gangopadhyay, S. Gangopadhyay,
S. Maitra, Nega-Hadamard transform, bent
and negabent functions, SETA 2010 (C. Carlet and A. Pott,
Eds.) , LNCS 6338, pp. 359-372, 2010.
63. J.L. Shafer, S.W. Schneider, J.T. Butler, P.
Stanica, Enumeration
of Bent Boolean Functions by Reconfigurable Computer, The 18th Annual International IEEE Symposium on Field-Programmable
Custom Computing Machines (FCCM-2010), 265-272.
62. F. Luca, P. Stanica, A. Togbe, On a
Diophantine equation of Stroeker, Bulletin
of Belgian Math Society 17 (2010), 1-8.
61. F. Luca, D.
Marques, P. Stanica, On the spacings between C-nomial coefficients, J. Number Theory 130:1
(2010), 82-100. (here is a revised
proof of Lemma 1, fixing a propagated typo).
60. E. Kilic, G.N. Stanica, P. Stanica, Spectral
Properties of Some Combinatorial Matrices, Congressus
Numerantium Vol. 201, Proc. International
Conf. Fibonacci Numbers & Appl., (F.
Luca, P. Stanica, eds.) (2010), 223-236.
59. F. Luca, P. Stanica,
Aliquots sums of Fibonacci numbers,
Congressus Numerantium Vol.200, Proc.
International Conf. Fibonacci Numbers & Applic., (W. Webb, ed.) (2010), 153-160.
2009
58. E. Kilic, P. Stanica, Factorizations
and representations of second order linear recurrences with indices in
arithmetic progressions, Bulletin Mex. Math. Soc. 15 (2009),
23-36.
57. T.W. Cusick,
Yuan Li, P. Stanica, On a conjecture of balanced symmetric
Boolean functions, J. Mathematical Cryptology 3:4 (2009),
273-290.
56. T.W. Cusick, P. Stanica,
Sums of the Thue-Morse
sequence over arithmetic progressions, Advances and Applications in Discrete
Mathematics 4:2 (2009), 127-135.
55. F. Luca, P.
Stanica, On Machin’s formula with
powers of the golden section, International Journal of Number Theory
5:6 (2009), pp. 973-979.
54. N. Petrakos, G. Dinolt, B. Michael, P.
Stanica, Cube-Type
Algebraic Attacks on Wireless Encryption Protocols, Computer 42:10 (2009), 103-105.
53. F. Luca, P. Stanica, Fibonacci
numbers of the form p^a+-p^b,
Congressus Numerantium,
Proceedings of the Eleventh International Conference on Fibonacci Numbers and
their Applications, (William Webb, ed.), Vol 194, pp. 177-183, 2009.
52. C. Dartyge,
F. Luca, P. Stanica, On digit sums of multiples of
an integer, J. Number Theory 129:11 (2009), 2820-2830.
51. S. Konyagin, F.
Luca, P. Stanica, Sums of divisors of
Fibonacci numbers, Uniform Distribution Theory 4 (2009),
No. 1, 1-8.
50. S. Maitra, Y. V. Subba Rao, P.
Stanica, S. Gangopadhyay, Nontrivial
solutions to the cubic sieve congruence problem x^3=y^2 z (mod p),
Special Issue on Applied Cryptography & Data Security in Journal of "Computacion y Sistemas" 12:3 (2009) (eds. F. Rodrıguez-Henrıquez, D. Chakraborty), 253-266.
49. E. Kilic, P. Stanica, Generating
matrices for weighted sums of a second order linear recurrence, Journal
of Integer Sequences 12 (2009), Article 09.2.7.
2008
48. P.
Stanica, On the nonexistence
of bent rotation symmetric Boolean functions of degree greater than two , Proceedings of NATO Advanced Studies Institute
(Boolean Functions in Cryptology and Information Security - Nato Science for
Peace and Security), Ed. O.A. Logachev (2008), 214-218.
47. S. Maitra, P. Stanica, Rotation-Symmetric Functions – Count and
Cryptographic Properties, Discrete Applied Mathematics 156:10
(2008), 1567-1580.
46. H. Fredricksen, E.J. Ionascu, F. Luca, P. Stanica, Minimal Niven Numbers, Acta Arithmetica, 132 (2008), 135-159.
45. T.W.
Cusick, Yuan Li, P. Stanica, Balanced
Symmetric Functions over GF(p), IEEE Transactions on Inform. Theory 54:3
(2008), 1304-1307.
44. M. Filaseta, F. Luca, P. Stanica, R.
Underwood, Galois Groups of
Polynomials Arising from Circulant Matrices, J. Number Theory 128:1
(2008), 59-70.
2007
43. H. Fredricksen, E. Ionascu, F. Luca, P.
Stanica, Remarks on a sequence of
minimal Niven numbers, S.W. Golomb et al. (Eds.): SEQUENCES 2007,
Springer-Verlag LNCS 4893, 162–168, 2007.
42. T.W. Cusick, H. Fredricksen, P. Stanica, On the delta sequence of the Thue-Morse
sequence, Australasian Journal of Combinatorics 39 (2007),
293-300.
41. C. Frenzen, E. Ionascu, P. Stanica, A proof of two conjectures related to the Erdos-Debrunner inequality, J. Inequal. Pure and
Appl. Math. 8 (3) (2007), 13 pp.
40. F. Luca, P. Stanica, Linear
Equations with Euler Totient Functions, Acta Arithmetica
128:2 (2007), 135-147.
39. M. Filaseta, F. Luca, P. Stanica, R.
Underwood, Two Diophantine
Approaches to the Irreducibility of Certain Trinomials, Acta Arithmetica 128:2 (2007), 149-156.
38. E. Ionascu, F. Luca, P. Stanica, Heron triangles with two fixed sides,
J. Number Theory 126 (2007), 52-68.
37. P. Stanica, Graph
eigenvalues and Walsh spectrum of Boolean functions, Proceedings of the 'Integers Conference 2005' in Celebration of
the 70th Birthday of Ronald Graham, (Carrollton, Georgia, October 27-30, 2005),
Walter de Gruyter, 431-442; also appeared in Integers-Journal
of Combinatorial Number Theory 7(2), Art.32.
36. E.J. Ionascu, P. Stanica, Extreme values for the area of rectangles with
vertices on concentrical circles, Elemente
der Mathematik 62:1 (2007), 30-39.
2006
35. R. Gera, S. Horton, C. Rasmussen, P. Stanica, Results on the min-sum vertex cover problem, Congr. Numer. 178 (2006), 161-172.
34. F. Luca, P. Stanica, F_1
F_2 F_3 F_4 F_5 F_6 F_8 F_10 F_12=11!, Portugaliae
Mathematica 63 (2006), no. 3, 251-260.
2005
33. F. Luca, P.
Stanica, On a conjecture of Ma,
Results der Mathematik 48 (2005), no. 1-2, 109-123
(corrected version available here).
32. T. Foguel, P. Stanica, Almost Hamiltonian Groups, Results der Mathematik 48
(2005), no. 1-2, 44-49.
31. F. Luca, P. Stanica, Prime
divisors of Lucas sequences and a conjecture of Skalba,
International Journal of Number Theory 1:4 (2005) 583-591.
30. W. Banks, F. Luca, F. Saidak, P.
Stanica, Compositions with the
Euler and Carmichael Functions, Abhandlungen
aus dem Math. Seminar der Universität Hamburg
75(2005), 215–243.
29. P. Stanica, Cholesky
factorizations of matrices associated with r-order recurrent sequences,
Integers-Electronic Journal of Combinatorial Number Theory 5(2) (2005),
#A16. (Also published in Proceedings of a Conf. in Honour
of Tom Brown, Topics in
Combinatorial Number Theory, which has been published by DIMATIA,
as Volume 261 of its ITI Series.)
28. N.B. Limaye, D.G. Sarvate, P. Stanica,
P. Young, Regular and Strongly Regular
Planar Graphs, J. of Combinat. Math. and Combinat.Computing 54 (2005), 111-127.
27. F. Luca, P. Stanica, Fibonacci numbers that are not sum of two
primes powers, Proceedings of AMS 133
(2005), 1887-1890.
26. C. Georgescu, C. Joita, W. Nowell, P. Stanica, Chaotic Dynamics of Some Rational Maps,
Discrete and Continuous Dynamical Systems -Ser A 12:2 (2005),
363-375.
2004
25. J.A. Clark, J.L. Jacob, S. Maitra, P. Stanica, Almost Boolean Functions: the Design of
Boolean Functions by Spectral Inversion, Computational
Intelligence 20: 3 (2004), 450-462.
24. E.J. Ionascu, P. Stanica, Asymptotic expansions for some nonlinear recurrences
and almost doubly-exponential sequences, Acta Mathematica
Universitatis Comenianae, LXXIII 1 (2004), 1-13.
23. P. Stanica, S. Maitra, J. Clark, Results on Rotation-Symmetric Bent &
Correlation-Immune Boolean Functions, Proceeding of Fast Software
Encryption Workshop (FSE 2004), New Delhi, INDIA, LNCS 3017, Springer
Verlag, 161-177, 2004.
22. F. Luca, P. Stanica, Cullen
Numbers and Second-Order Recurrence Sequences, International Conf.
on Fibonacci Numbers, Kluwer (2004), 167-175.
21. P. Stanica,S.-H. Sung, Boolean Functions with Five Controllable
Cryptographic Properties, Designs, Codes and Cryptography 31
(2004), 147-157.
2003
20. P.
Stanica, S. Maitra, A
Constructive Count of Rotation Symmetric Functions, Information
Proc. Letters 88:6 (2003), 299-304.
19. J.A. Clark, J.L. Jacob, S. Maitra, P. Stanica, Almost Boolean Functions: the Design of Boolean Functions by Spectral Inversion, Conference
on Evolutionary Computation. Special Session on Evolutionary Computation in
Computer Security and Cryptography, Canberra, 8-12 December 2003.
18. F. Luca, P. Stanica, Products
of Factorials Modulo p, Colloquium Mathematicum
96 no. 2 (2003), 191-205.
17. P. Stanica, Generating
Functions, Weighted and Non-Weighted Sums for Powers of Second-Order Recurrence
Sequences, Fibonacci Quart. 41:3, August 2003.
16. F. Luca, P. Stanica, On the
prime factor factorization of n!, J. of Number Theory, Vol
102/2 (2003), 298-305.
15. C. Joita, P. Stanica, Inequalities related to rearrangements of powers
and symmetric polynomials, J. of Inequalities in Pure and
Applied Math., Vol.4, Issue 2, art. 37 (2003).
14. P. Stanica, Netted
Matrices, Intern. Journal of Math. and Math Sciences, Vol. 2003:39
(2003), 2507-2518.
13. P. Stanica, p^q-Catalan Numbers and Squarefree
Binomial Coefficients, J. of Number Theory, Vol 100/2 (2003),
203 - 216.
12. P. Stanica, S. Maitra, Rotation-Symmetric Functions, In Proc.
R. C. Bose Centenary Symp. on Discrete Math. And
Applications, Electronic Notes in Discrete Mathematics 15,
(2003), 141-147.
2002
11. T.W. Cusick, P. Stanica, Fast Evaluation, Weights and Nonlinearity of
Rotation-Symmetric Functions, Discrete Mathematics - Elsevier,
258:1-3 (2002), 289-301.
10. F. Smith, P. Stanica, Muller-Twist or Comply-Constrain Games,
Integers- Electronic J. of Combinatorial Number Theory, vol. 2, art. G3
(2002).
9. P. Stanica, Inequalities
on Linear Functions and Circular Powers, J. of Inequalities in Pure
and Applied Math., Vol. 3, Issue 3, Art. 43 (2002).
8. R. Peele, P. Stanica, Powers
of Pascal's like triangles and Fibonacci sequences, Fibonacci Quart.
40 (2002), 146-152.
7. P. Stanica, G. Stanica, There
are Infinitely Many Smarandache Derivations,
Integrations and Lucky Numbers, Sm. Notions Journal, vol.
13, 2002 (recreational mathematics).
6. P. Stanica, Nonlinearity,
local and global avalanche characteristics of balanced Boolean functions,
Discrete Mathematics 248:1-3 (2002), 181-193.
2001
5. P.
Stanica, Good Lower and Upper Bounds on
Binomial Coefficients, J. Inequalities in Pure and Applied Math.,
Vol.2, Issue 3, Art. 30 (2001).
4. P. Stanica, S.- H. Sung, Improving
the Nonlinearity of Balanced Boolean Functions with Good Local and Global
Avalanche Characteristics, Information Processing Letters 79 No.
4 (2001), 167-172.
1997
3. T.W.
Cusick, P. Stanica, Counting
the n-chromos of I.J. Schoenberg, Journal of Combinatorial Theory, Ser.
A, 79, 298-314 (1997).
1996
2. A.M. Youssef, T.W. Cusick, P. Stanica, S.E.
Tavares, New bounds on the number of
functions satisfying the Strict Avalanche Criterion, Selected Areas in
Cryptography' 96, Kingston, Ontario, Canada, 49-56, 1996.
1. T.W. Cusick, P. Stanica, Bounds on the number of functions satisfying the
SAC, Information Processing Letters 60 (1996), 215-219.
0. Chromos, Boolean Functions and Avalanche Characteristics, Ph.D. Thesis, State University of New York at Buffalo, 1998.