# zbMATH — the first resource for mathematics

## Stănică, Pantelimon

Compute Distance To:
 Author ID: stanica.pantelimon Published as: Stanica, Pantelimon; Stănică, P.; Stănică, Pantelimon; Stănică, Patelimon; Stǎnicǎ, Pantelimon Homepage: http://faculty.nps.edu/pstanica/ External Links: MGP
 Documents Indexed: 137 Publications since 1997, including 4 Books
all top 5

#### Co-Authors

 12 single-authored 38 Luca, Florian 13 Gangopadhyay, Sugata 13 Maitra, Subhamoy 12 Cusick, Thomas W. 10 Riera, Constanza 9 Kilic, Emrah 8 Martinsen, Thor 7 Ionaşcu, Eugen Julien 6 Mandal, Bimal 6 Wang, Qichun 5 Meidl, Wilfried 3 Budaghyan, Lilya 3 Fredricksen, Harold M. 3 Gangopadhyay, Aditi Kar 3 Gera, Ralucca 3 Li, Yuan 3 Pasalic, Enes 3 Roy, Dibyendu 3 Tan, Chik How 2 Banks, William D. 2 Butler, Jon T. 2 Canright, David 2 Carlet, Claude 2 Chaturvedi, Ankita 2 Chung, Jong H. 2 Ellingsen, Pål G. 2 Filaseta, Michael A. 2 Joiţa, Cezar 2 Kaleyski, Nikolay S. 2 Mesnager, Sihem 2 Pott, Alexander 2 Sinha, Nishant 2 Stănică, Gabriela N. 2 Sung, Soohak 2 Underwood, Robert G. 1 Anderson, Matthew W. 1 Bach, Eric 1 Bilu, Yuri F. 1 Bodapati, Srinivasu 1 Castro, Francis Noel 1 Chattopadhyay, Anupam 1 Chun, Changbum 1 Clark, John A. 1 Dartyge, Cécile 1 Datta, Saral 1 Etherington, Carole J. 1 Felke, Patrick 1 Finch, Carrie E. 1 Foguel, Tuval S. 1 Fox, Joseph A. 1 Frenzen, Chris L. 1 Georgescu, Catalin 1 Hasan, Sartaj Ul 1 Hopp, Mathias 1 Horton, Steve 1 Joyner, David 1 Kar, Nirupam 1 Komatsu, Takao 1 Konyagin, Sergeĭ Vladimirovich 1 Kwon, Soonhak 1 Li, Shuxing 1 Limaye, Nirmala B. 1 Luke, Brian L. 1 Mabaso, Sibusiso 1 Marques, Diego 1 Martinsen, Corey 1 Medina, Luis A. 1 Neta, Beny 1 Nowell, William O. jun. 1 Pace, Phillip E. 1 Pal, Mohit 1 Paul, Goutam 1 Peele, Rhodes 1 Pizarro-Madariaga, Amalia 1 Pollatos, Spyridon 1 Polujan, Alexandr A. 1 Pomerance, Carl Bernard 1 Rasmussen, Craig W. 1 Saidak, Filip 1 Sarkar, Santanu 1 Sarvate, Dinesh G. 1 Sasao, Tsutomu 1 Sen Gupta, Sourav 1 Siddhanti, Akhilesh Anilkumar 1 Singh, Brajesh Kumar 1 Smith, Furman H. 1 Solé, Patrick 1 Tang, Deng 1 Tedesso, Thomas W. 1 Tkachenko, Anton 1 Togbé, Alain 1 Yalçiner, Aynur 1 Young, Paul Thomas
all top 5

#### Serials

 9 IEEE Transactions on Information Theory 8 Journal of Number Theory 8 Designs, Codes and Cryptography 6 The Fibonacci Quarterly 6 Cryptography and Communications 5 Discrete Applied Mathematics 5 Congressus Numerantium 4 Information Processing Letters 4 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 4 Integers 3 Discrete Mathematics 3 Acta Arithmetica 3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 3 Applicable Algebra in Engineering, Communication and Computing 3 Advances in Mathematics of Communications 2 Results in Mathematics 2 The Australasian Journal of Combinatorics 2 International Journal of Number Theory 2 Journal of Mathematical Cryptology 2 Annales Mathematicae et Informaticae 2 Uniform Distribution Theory 2 Journal of Combinatorics and Number Theory 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Ars Combinatoria 1 Colloquium Mathematicum 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 International Journal of Foundations of Computer Science 1 Acta Mathematica Universitatis Comenianae. New Series 1 Elemente der Mathematik 1 International Journal of Computer Mathematics 1 Notices of the American Mathematical Society 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Journal of Integer Sequences 1 Fundamenta Informaticae 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 Aportaciones Matemáticas: Investigación 1 Advances and Applications in Discrete Mathematics
all top 5

#### Fields

 76 Number theory (11-XX) 62 Information and communication theory, circuits (94-XX) 29 Order, lattices, ordered algebraic structures (06-XX) 23 Combinatorics (05-XX) 9 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 4 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

86 Publications have been cited 449 times in 300 Documents Cited by Year
Cryptographic Boolean functions and applications. Zbl 1173.94002
Cusick, Thomas W.; Stănică, Pantelimon
2009
Rotation symmetric Boolean functions-count and cryptographic properties. Zbl 1142.94016
Stănică, Pantelimon; Maitra, Subhamoy
2008
Results on rotation symmetric bent and correlation immune Boolean functions. Zbl 1079.68562
Stănică, Pantelimon; Maitra, Subhamoy; Clark, John A.
2004
Fast evaluation, weights and nonlinearity of rotation-symmetric functions. Zbl 1013.94042
Cusick, Thomas W.; Stănică, Pantelimon
2002
Third-order family of methods in Banach spaces. Zbl 1217.65101
Chun, Changbum; Stănică, Pantelimon; Neta, Beny
2011
Cryptographic Boolean functions and applications. 2nd edition. Zbl 1359.94001
Cusick, Thomas; Stanica, Pantelimon
2017
Investigations on bent and negabent functions via the nega-Hadamard transform. Zbl 1365.94684
2012
Balanced symmetric functions over $$\mathrm{GF}(p)$$. Zbl 1306.94041
Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon
2008
Bent and generalized bent Boolean functions. Zbl 1322.94094
Stănică, Pantelimon; Martinsen, Thor; Gangopadhyay, Sugata; Singh, Brajesh Kumar
2013
Generalized bent functions and their Gray images. Zbl 1409.11135
Martinsen, Thor; Meidl, Wilfried; Stănică, Pantelimon
2016
Partial spread and vectorial generalized bent functions. Zbl 1408.94997
Martinsen, Thor; Meidl, Wilfried; Stănică, Pantelimon
2017
The spectrum of generalized Petersen graphs. Zbl 1228.05206
Gera, Ralucca; Stănică, Pantelimon
2011
Nega-Hadamard transform, bent and negabent functions. Zbl 1233.94023
2010
A constructive count of rotation symmetric functions. Zbl 1178.68237
Stǎnicǎ, Pantelimon; Maitra, Subhamoy
2003
Good lower and upper bounds on binomial coefficients. Zbl 0987.05005
Stănică, Pantelimon
2001
A note on generalized bent criteria for Boolean functions. Zbl 1364.94799
Gangopadhyay, Sugata; Pasalic, Enes; Stănică, Pantelimon
2013
On a conjecture for balanced symmetric Boolean functions. Zbl 1187.94022
Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon
2009
Fibonacci numbers that are not sums of two prime powers. Zbl 1113.11011
Luca, Florian; Stănică, Pantelimon
2005
Rotation symmetric Boolean functions – count and cryptographic properties. Zbl 1190.94050
Stǎnicǎ, Pantelimon; Maitra, Subhamoy
2003
On the prime power factorization of $$n$$! Zbl 1049.11092
Luca, Florian; Stănică, Pantelimon
2003
Distance duality on some classes of Boolean functions. Zbl 1432.94228
Stănică, Pantelimon; Sasao, Tsutomu; Butler, Jon T.
2018
Decomposing generalized bent and hyperbent functions. Zbl 1390.94951
Martinsen, Thor; Meidl, Wilfried; Mesnager, Sihem; Stǎnicǎ, Pantelimon
2017
The inverse of banded matrices. Zbl 1254.65043
Kılıç, Emrah; Stanica, Pantelimon
2013
An analysis of the $$\mathcal C$$ class of bent functions. Zbl 1408.94948
Mandal, Bimal; Stănică, Pantelimon; Gangopadhyay, Sugata; Pasalic, Enes
2016
Cryptographic properties of the hidden weighted bit function. Zbl 1298.94110
Wang, Qichun; Carlet, Claude; Stănică, Pantelimon; Tan, Chik How
2014
On a combinatorial conjecture. Zbl 1241.11021
Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon
2011
Fibonacci numbers of the form $$p^a\pm p^b$$. Zbl 1273.11030
Luca, Florian; Stănică, Pantelimon
2009
On digit sums of multiples of an integer. Zbl 1241.11113
Dartyge, Cécile; Luca, Florian; Stănică, Pantelimon
2009
Nonlinearity, local and global avalanche characteristics of balanced Boolean functions. Zbl 1020.94034
Stănică, Pantelimon
2002
Improving the nonlinearity of certain balanced Boolean functions with good local and global avalanche characteristics. Zbl 1032.68657
Stănică, Pantelimon; Sung, Soo Hak
2001
Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension. Zbl 1344.94105
Cusick, Thomas W.; Stănică, Pantelimon
2016
Circulant matrices and affine equivalence of monomial rotation symmetric Boolean functions. Zbl 1318.05088
Canright, David; Chung, Jong H.; Stănică, Pantelimon
2015
Sierpiński and Carmichael numbers. Zbl 1325.11010
Banks, William; Finch, Carrie; Luca, Florian; Pomerance, Carl; Stănică, Pantelimon
2015
On some conjectures on the monotonicity of some arithmetical sequences. Zbl 1339.11038
Luca, Florian; Stănică, Pantelimon
2012
A matrix approach for general higher order linear recurrences. Zbl 1246.11027
Kiliç, Emrah; Stănică, Pantelimon
2011
Boolean functions with five controllable cryptographic properties. Zbl 1061.94050
Stănică, Pantelimon; Sung, Soo Hak
2004
Generating functions, weighted and non-weighted sums for powers of second-order recurrence sequences. Zbl 1130.11307
Stănică, Pantelimon
2003
Products of factorials modulo $$p$$. Zbl 1042.11002
Luca, Florian; Stănică, Pantelimon
2003
Bounds on the number of functions satisfying the Strict Avalanche Criterion. Zbl 0977.94027
Cusick, Thomas W.; Stănică, Pantelimon
1997
$$c$$-differentials, multiplicative uniformity, and (almost) perfect $$c$$-nonlinearity. Zbl 1448.94309
Ellingsen, Pål; Felke, Patrick; Riera, Constanza; Stănică, Pantelimon; Tkachenko, Anton
2020
Landscape Boolean functions. Zbl 1419.94097
Riera, Constanza; Stănică, Pantelimon
2019
New bounds on the covering radius of the second order Reed-Muller code of length 128. Zbl 1409.94947
Wang, Qichun; Stănică, Pantelimon
2019
A complete characterization of plateaued Boolean functions in terms of their Cayley graphs. Zbl 1423.94098
Riera, Constanza; Solé, Patrick; Stănică, Pantelimon
2018
Bisecting binomial coefficients. Zbl 1365.05011
Ionaşcu, Eugen J.; Martinsen, Thor; Stănică, Pantelimon
2017
Cryptographic Boolean functions with biased inputs. Zbl 1362.94032
2017
On weak and strong $$2^k$$-bent Boolean functions. Zbl 1359.94938
Stănică, Pantelimon
2016
Cryptographic properties of monotone Boolean functions. Zbl 1338.94070
Carlet, Claude; Joyner, David; Stănică, Pantelimon; Tang, Deng
2016
Affine equivalence of quartic monomial rotation symmetric Boolean functions in prime power dimension. Zbl 1387.06011
Stănică, Pantelimon
2015
Counting Heron triangles with constraints. Zbl 1286.11041
Stănică, Pantelimon; Sarkar, Santanu; Sen Gupta, Sourav; Maitra, Subhamoy; Kar, Nirupam
2013
The independence number for the generalized Petersen graphs. Zbl 1265.05457
Fox, Joseph; Gera, Ralucca; Stănică, Pantelimon
2012
Factorizations and representations of binary polynomial recurrences by matrix methods. Zbl 1221.11033
Kiliç, Emrah; Stănică, Pantelimon
2011
Laced Boolean functions and subset sum problems in finite fields. Zbl 1247.06010
Canright, David; Gangopadhyay, Sugata; Maitra, Subhamoy; Stănică, Pantelimon
2011
On the nonexistence of homogeneous rotation symmetric bent Boolean functions of degree greater than two. Zbl 1163.06004
Stănică, Pantelimon
2008
Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G.
2007
$$F_1F_2F_3F_4F_5F_6F_8F_{10}F_{12}=11!$$. Zbl 1160.11009
Luca, Florian; Stănică, Pantelimon
2006
Prime divisors of Lucas sequences and a conjecture of Skałba. Zbl 1102.11012
Luca, Florian; Stănică, Pantelimon
2005
Effective asymptotic for some nonlinear recurrences and almost doubly-exponential sequences. Zbl 1109.11013
Ionascu, E.; Stănică, P.
2004
Inequalities related to rearrangements of powers and symmetric polynomials. Zbl 1055.05150
Joiţa, Cezar; Stănică, Pantelimon
2003
Comply/constrain games or games with a Muller twist. Zbl 1030.91011
Smith, Furman; Stănică, Pantelimon
2002
A trigonometric sum sharp estimate and new bounds on the nonlinearity of some cryptographic Boolean functions. Zbl 1453.94123
Wang, Qichun; Stănică, Pantelimon
2019
On symmetry and differential properties of generalized Boolean functions. Zbl 1445.94046
Martinsen, Thor; Meidl, Wilfried; Pott, Alexander; Stănică, Pantelimon
2018
Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent. Zbl 1443.94119
Castro, Francis N.; Medina, Luis A.; Stănică, Pantelimon
2018
Gowers $$U_3$$ norm of some classes of bent Boolean functions. Zbl 1417.94131
Gangopadhyay, Sugata; Mandal, Bimal; Stănică, Pantelimon
2018
Monotonic phinomial coefficients. Zbl 1437.11006
Luca, Florian; Stănică, Pantelimon
2017
A parallel approach in computing correlation immunity up to six variables. Zbl 1401.94153
Etherington, Carole J.; Anderson, Matthew W.; Bach, Eric; Butler, Jon T.; Stănică, Pantelimon
2016
On a divisibility relation for Lucas sequences. Zbl 1402.11023
Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon
2016
A construction of Boolean functions with good cryptographic properties. Zbl 1375.94110
Chung, Jong H.; Stănică, Pantelimon; Tan, Chik-How; Wang, Qichun
2015
Equations with arithmetic functions of Pell numbers. Zbl 1389.11047
Luca, Florian; Stănică, Pantelimon
2014
Concatenations of the hidden weighted bit function and their cryptographic properties. Zbl 1300.94099
Wang, Qichun; Tan, Chik How; Stănică, Pantelimon
2014
General approach in computing sums of products of binary sequences. Zbl 1343.11021
Kılıç, E.; Stănică, P.
2013
The Euler function of Fibonacci and Lucas numbers and factorials. Zbl 1289.11011
Luca, Florian; Stănică, Pantelimon
2013
On the Euler function of the Catalan numbers. Zbl 1271.11005
Luca, Florian; Stănică, Pantelimon
2012
The Lehmer matrix and its recursive analogue. Zbl 1235.65026
Kilic, Emrah; Stănică, Pantelimon
2010
Spectral properties of some combinatorial matrices. Zbl 1204.11037
Kilic, Emrah; Stănică, Gabriela N.; Stănică, Pantelimon
2010
On the spacings between $$C$$-nomial coefficients. Zbl 1242.11068
Luca, Florian; Marques, Diego; Stănică, Pantelimon
2010
Factorizations and representations of second order linear recurrences with indices in arithmetic progressions. Zbl 1246.11034
Kiliç, E.; Stănică, P.
2009
Sums of the Thue-Morse sequence over arithmetic progressions. Zbl 1217.11027
Cusick, T. W.; Stănică, P.
2009
On Machin’s formula with powers of the golden section. Zbl 1231.11035
Luca, Florian; Stănică, Pantelimon
2009
Sum of divisors of Fibonacci numbers. Zbl 1208.11115
Konyagin, Sergei V.; Luca, Florian; Stănică, Pantelimon
2009
Heron triangles with two fixed sides. Zbl 1137.11023
Ionascu, Eugen J.; Luca, Florian; Stănică, Pantelimon
2007
Extreme values for the area of rectangles with vertices on concentrical circles. Zbl 1120.51010
Ionascu, Eugen J.; Stănică, Pantelimon
2007
Cholesky factorizations of matrices associated with $$r$$-order recurrent sequences. Zbl 1139.11307
Stănică, Pantelimon
2005
On a conjecture of Ma. Zbl 1092.05007
Luca, Florian; Stănică, Pantelimon
2005
Cullen numbers in binary recurrent sequences. Zbl 1072.11014
Luca, Florian; Stǎnicǎ, Pantelimon
2004
Netted matrices. Zbl 1059.11019
Stănică, Pantelimon
2003
Matrix powers of column-justified Pascal triangles and Fibonacci sequences. Zbl 1044.11010
Peele, Rhodes; Stănică, Pantelimon
2002
$$c$$-differentials, multiplicative uniformity, and (almost) perfect $$c$$-nonlinearity. Zbl 1448.94309
Ellingsen, Pål; Felke, Patrick; Riera, Constanza; Stănică, Pantelimon; Tkachenko, Anton
2020
Landscape Boolean functions. Zbl 1419.94097
Riera, Constanza; Stănică, Pantelimon
2019
New bounds on the covering radius of the second order Reed-Muller code of length 128. Zbl 1409.94947
Wang, Qichun; Stănică, Pantelimon
2019
A trigonometric sum sharp estimate and new bounds on the nonlinearity of some cryptographic Boolean functions. Zbl 1453.94123
Wang, Qichun; Stănică, Pantelimon
2019
Distance duality on some classes of Boolean functions. Zbl 1432.94228
Stănică, Pantelimon; Sasao, Tsutomu; Butler, Jon T.
2018
A complete characterization of plateaued Boolean functions in terms of their Cayley graphs. Zbl 1423.94098
Riera, Constanza; Solé, Patrick; Stănică, Pantelimon
2018
On symmetry and differential properties of generalized Boolean functions. Zbl 1445.94046
Martinsen, Thor; Meidl, Wilfried; Pott, Alexander; Stănică, Pantelimon
2018
Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent. Zbl 1443.94119
Castro, Francis N.; Medina, Luis A.; Stănică, Pantelimon
2018
Gowers $$U_3$$ norm of some classes of bent Boolean functions. Zbl 1417.94131
Gangopadhyay, Sugata; Mandal, Bimal; Stănică, Pantelimon
2018
Cryptographic Boolean functions and applications. 2nd edition. Zbl 1359.94001
Cusick, Thomas; Stanica, Pantelimon
2017
Partial spread and vectorial generalized bent functions. Zbl 1408.94997
Martinsen, Thor; Meidl, Wilfried; Stănică, Pantelimon
2017
Decomposing generalized bent and hyperbent functions. Zbl 1390.94951
Martinsen, Thor; Meidl, Wilfried; Mesnager, Sihem; Stǎnicǎ, Pantelimon
2017
Bisecting binomial coefficients. Zbl 1365.05011
Ionaşcu, Eugen J.; Martinsen, Thor; Stănică, Pantelimon
2017
Cryptographic Boolean functions with biased inputs. Zbl 1362.94032
2017
Monotonic phinomial coefficients. Zbl 1437.11006
Luca, Florian; Stănică, Pantelimon
2017
Generalized bent functions and their Gray images. Zbl 1409.11135
Martinsen, Thor; Meidl, Wilfried; Stănică, Pantelimon
2016
An analysis of the $$\mathcal C$$ class of bent functions. Zbl 1408.94948
Mandal, Bimal; Stănică, Pantelimon; Gangopadhyay, Sugata; Pasalic, Enes
2016
Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension. Zbl 1344.94105
Cusick, Thomas W.; Stănică, Pantelimon
2016
On weak and strong $$2^k$$-bent Boolean functions. Zbl 1359.94938
Stănică, Pantelimon
2016
Cryptographic properties of monotone Boolean functions. Zbl 1338.94070
Carlet, Claude; Joyner, David; Stănică, Pantelimon; Tang, Deng
2016
A parallel approach in computing correlation immunity up to six variables. Zbl 1401.94153
Etherington, Carole J.; Anderson, Matthew W.; Bach, Eric; Butler, Jon T.; Stănică, Pantelimon
2016
On a divisibility relation for Lucas sequences. Zbl 1402.11023
Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon
2016
Circulant matrices and affine equivalence of monomial rotation symmetric Boolean functions. Zbl 1318.05088
Canright, David; Chung, Jong H.; Stănică, Pantelimon
2015
Sierpiński and Carmichael numbers. Zbl 1325.11010
Banks, William; Finch, Carrie; Luca, Florian; Pomerance, Carl; Stănică, Pantelimon
2015
Affine equivalence of quartic monomial rotation symmetric Boolean functions in prime power dimension. Zbl 1387.06011
Stănică, Pantelimon
2015
A construction of Boolean functions with good cryptographic properties. Zbl 1375.94110
Chung, Jong H.; Stănică, Pantelimon; Tan, Chik-How; Wang, Qichun
2015
Cryptographic properties of the hidden weighted bit function. Zbl 1298.94110
Wang, Qichun; Carlet, Claude; Stănică, Pantelimon; Tan, Chik How
2014
Equations with arithmetic functions of Pell numbers. Zbl 1389.11047
Luca, Florian; Stănică, Pantelimon
2014
Concatenations of the hidden weighted bit function and their cryptographic properties. Zbl 1300.94099
Wang, Qichun; Tan, Chik How; Stănică, Pantelimon
2014
Bent and generalized bent Boolean functions. Zbl 1322.94094
Stănică, Pantelimon; Martinsen, Thor; Gangopadhyay, Sugata; Singh, Brajesh Kumar
2013
A note on generalized bent criteria for Boolean functions. Zbl 1364.94799
Gangopadhyay, Sugata; Pasalic, Enes; Stănică, Pantelimon
2013
The inverse of banded matrices. Zbl 1254.65043
Kılıç, Emrah; Stanica, Pantelimon
2013
Counting Heron triangles with constraints. Zbl 1286.11041
Stănică, Pantelimon; Sarkar, Santanu; Sen Gupta, Sourav; Maitra, Subhamoy; Kar, Nirupam
2013
General approach in computing sums of products of binary sequences. Zbl 1343.11021
Kılıç, E.; Stănică, P.
2013
The Euler function of Fibonacci and Lucas numbers and factorials. Zbl 1289.11011
Luca, Florian; Stănică, Pantelimon
2013
Investigations on bent and negabent functions via the nega-Hadamard transform. Zbl 1365.94684
2012
On some conjectures on the monotonicity of some arithmetical sequences. Zbl 1339.11038
Luca, Florian; Stănică, Pantelimon
2012
The independence number for the generalized Petersen graphs. Zbl 1265.05457
Fox, Joseph; Gera, Ralucca; Stănică, Pantelimon
2012
On the Euler function of the Catalan numbers. Zbl 1271.11005
Luca, Florian; Stănică, Pantelimon
2012
Third-order family of methods in Banach spaces. Zbl 1217.65101
Chun, Changbum; Stănică, Pantelimon; Neta, Beny
2011
The spectrum of generalized Petersen graphs. Zbl 1228.05206
Gera, Ralucca; Stănică, Pantelimon
2011
On a combinatorial conjecture. Zbl 1241.11021
Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon
2011
A matrix approach for general higher order linear recurrences. Zbl 1246.11027
Kiliç, Emrah; Stănică, Pantelimon
2011
Factorizations and representations of binary polynomial recurrences by matrix methods. Zbl 1221.11033
Kiliç, Emrah; Stănică, Pantelimon
2011
Laced Boolean functions and subset sum problems in finite fields. Zbl 1247.06010
Canright, David; Gangopadhyay, Sugata; Maitra, Subhamoy; Stănică, Pantelimon
2011
Nega-Hadamard transform, bent and negabent functions. Zbl 1233.94023
2010
The Lehmer matrix and its recursive analogue. Zbl 1235.65026
Kilic, Emrah; Stănică, Pantelimon
2010
Spectral properties of some combinatorial matrices. Zbl 1204.11037
Kilic, Emrah; Stănică, Gabriela N.; Stănică, Pantelimon
2010
On the spacings between $$C$$-nomial coefficients. Zbl 1242.11068
Luca, Florian; Marques, Diego; Stănică, Pantelimon
2010
Cryptographic Boolean functions and applications. Zbl 1173.94002
Cusick, Thomas W.; Stănică, Pantelimon
2009
On a conjecture for balanced symmetric Boolean functions. Zbl 1187.94022
Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon
2009
Fibonacci numbers of the form $$p^a\pm p^b$$. Zbl 1273.11030
Luca, Florian; Stănică, Pantelimon
2009
On digit sums of multiples of an integer. Zbl 1241.11113
Dartyge, Cécile; Luca, Florian; Stănică, Pantelimon
2009
Factorizations and representations of second order linear recurrences with indices in arithmetic progressions. Zbl 1246.11034
Kiliç, E.; Stănică, P.
2009
Sums of the Thue-Morse sequence over arithmetic progressions. Zbl 1217.11027
Cusick, T. W.; Stănică, P.
2009
On Machin’s formula with powers of the golden section. Zbl 1231.11035
Luca, Florian; Stănică, Pantelimon
2009
Sum of divisors of Fibonacci numbers. Zbl 1208.11115
Konyagin, Sergei V.; Luca, Florian; Stănică, Pantelimon
2009
Rotation symmetric Boolean functions-count and cryptographic properties. Zbl 1142.94016
Stănică, Pantelimon; Maitra, Subhamoy
2008
Balanced symmetric functions over $$\mathrm{GF}(p)$$. Zbl 1306.94041
Cusick, Thomas W.; Li, Yuan; Stănică, Pantelimon
2008
On the nonexistence of homogeneous rotation symmetric bent Boolean functions of degree greater than two. Zbl 1163.06004
Stănică, Pantelimon
2008
Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G.
2007
Heron triangles with two fixed sides. Zbl 1137.11023
Ionascu, Eugen J.; Luca, Florian; Stănică, Pantelimon
2007
Extreme values for the area of rectangles with vertices on concentrical circles. Zbl 1120.51010
Ionascu, Eugen J.; Stănică, Pantelimon
2007
$$F_1F_2F_3F_4F_5F_6F_8F_{10}F_{12}=11!$$. Zbl 1160.11009
Luca, Florian; Stănică, Pantelimon
2006
Fibonacci numbers that are not sums of two prime powers. Zbl 1113.11011
Luca, Florian; Stănică, Pantelimon
2005
Prime divisors of Lucas sequences and a conjecture of Skałba. Zbl 1102.11012
Luca, Florian; Stănică, Pantelimon
2005
Cholesky factorizations of matrices associated with $$r$$-order recurrent sequences. Zbl 1139.11307
Stănică, Pantelimon
2005
On a conjecture of Ma. Zbl 1092.05007
Luca, Florian; Stănică, Pantelimon
2005
Results on rotation symmetric bent and correlation immune Boolean functions. Zbl 1079.68562
Stănică, Pantelimon; Maitra, Subhamoy; Clark, John A.
2004
Boolean functions with five controllable cryptographic properties. Zbl 1061.94050
Stănică, Pantelimon; Sung, Soo Hak
2004
Effective asymptotic for some nonlinear recurrences and almost doubly-exponential sequences. Zbl 1109.11013
Ionascu, E.; Stănică, P.
2004
Cullen numbers in binary recurrent sequences. Zbl 1072.11014
Luca, Florian; Stǎnicǎ, Pantelimon
2004
A constructive count of rotation symmetric functions. Zbl 1178.68237
Stǎnicǎ, Pantelimon; Maitra, Subhamoy
2003
Rotation symmetric Boolean functions – count and cryptographic properties. Zbl 1190.94050
Stǎnicǎ, Pantelimon; Maitra, Subhamoy
2003
On the prime power factorization of $$n$$! Zbl 1049.11092
Luca, Florian; Stănică, Pantelimon
2003
Generating functions, weighted and non-weighted sums for powers of second-order recurrence sequences. Zbl 1130.11307
Stănică, Pantelimon
2003
Products of factorials modulo $$p$$. Zbl 1042.11002
Luca, Florian; Stănică, Pantelimon
2003
Inequalities related to rearrangements of powers and symmetric polynomials. Zbl 1055.05150
Joiţa, Cezar; Stănică, Pantelimon
2003
Netted matrices. Zbl 1059.11019
Stănică, Pantelimon
2003
Fast evaluation, weights and nonlinearity of rotation-symmetric functions. Zbl 1013.94042
Cusick, Thomas W.; Stănică, Pantelimon
2002
Nonlinearity, local and global avalanche characteristics of balanced Boolean functions. Zbl 1020.94034
Stănică, Pantelimon
2002
Comply/constrain games or games with a Muller twist. Zbl 1030.91011
Smith, Furman; Stănică, Pantelimon
2002
Matrix powers of column-justified Pascal triangles and Fibonacci sequences. Zbl 1044.11010
Peele, Rhodes; Stănică, Pantelimon
2002
Good lower and upper bounds on binomial coefficients. Zbl 0987.05005
Stănică, Pantelimon
2001
Improving the nonlinearity of certain balanced Boolean functions with good local and global avalanche characteristics. Zbl 1032.68657
Stănică, Pantelimon; Sung, Soo Hak
2001
Bounds on the number of functions satisfying the Strict Avalanche Criterion. Zbl 0977.94027
Cusick, Thomas W.; Stănică, Pantelimon
1997
all top 5

#### Cited by 428 Authors

 31 Stănică, Pantelimon 20 Argyros, Ioannis Konstantinos 20 Cusick, Thomas W. 11 George, Santhosh 11 Medina, Luis A. 11 Wang, Qichun 10 Castro, Francis Noel 10 Pasalic, Enes 9 Gangopadhyay, Sugata 9 Luca, Florian 9 Maitra, Subhamoy 7 Meidl, Wilfried 6 Li, Chao 6 Mesnager, Sihem 6 Tan, Chik How 5 Fu, Shaojing 5 Qu, Longjiang 5 Riera, Constanza 4 Anbar, Nurdagül 4 Carlet, Claude 4 Gupta, Dharmendra Kumar 4 Li, Yuan 4 Lin, Dongdai 4 Magreñán, Ángel Alberto 4 Mandal, Bimal 4 Marques, Diego 4 Martínez, Eulalia 4 Shparlinski, Igor E. 4 Singh, Sukhjit 3 Bartoli, Daniele 3 Chen, Yonggao 3 Cheon, Younhwan 3 Deng, Yingpu 3 Du, Jiao 3 Fu, Fangwei 3 Garaev, Moubariz Z. 3 González, Oscar E. 3 Hodžić, Samir 3 Hueso, José Luis 3 Kavut, Selçuk 3 Kilic, Emrah 3 Kucukoglu, Irem 3 Martín del Rey, Ángel 3 Martinsen, Thor 3 Sepúlveda, L. Brehsner 3 Sharma, Janak Raj 3 Sicilia, Juan Antonio 3 Simsek, Yilmaz 3 Su, Sihong 3 Zeng, Xiangyong 3 Zhang, Weiguo 3 Zini, Giovanni 2 Álvarez-Cubero, José Antonio 2 Arıkan, Talha 2 Bašić, Bojan 2 Berend, Daniel 2 Brown, Alyssa 2 Budaghyan, Lilya 2 Cepak, Nastja 2 Chen, Zhixiong 2 Chung, Jong H. 2 Ciungu, Lavinia Corina 2 Dalfó, Cristina 2 Daneshgar, Amir 2 Dong, Deshuai 2 Feng, Rongquan 2 Feng, Xiutao 2 Fiol, Miquel Angel 2 Gao, Guangpu 2 Giulietti, Massimo 2 Johns, Bryan 2 Kaleyski, Nikolay S. 2 Klapper, Andrew M. 2 Kolesnik, Grigoriĭ Abramovich 2 Kudin, S. 2 Kumar, Sunil 2 Kutsenko, A. V. 2 Lakshmy, K. V. 2 Li, Jiyou 2 Liu, Jian 2 Liu, MeiCheng 2 Liu, Wei 2 Liu, Wenfen 2 Liu, Zhuojun 2 Matsuura, Kanta 2 Morgenbesser, Johannes F. 2 Oblaukhov, Alekseĭ Konstantinovich 2 Oblaukhov, Alexey 2 Orcos, Lara 2 Pang, Shanqi 2 Parker, Matthew Geoffrey 2 Pogorelov, Boris A. 2 Pott, Alexander 2 Pudovkina, Marina A. 2 Quoos, Luciane 2 Rodríguez Sánchez, Gerardo 2 Rubio, Ivelisse M. 2 Sarkar, Sumanta 2 Sethumadhavan, M. 2 Shi, Minjia ...and 328 more Authors
all top 5

#### Cited in 103 Serials

 31 Discrete Applied Mathematics 30 Designs, Codes and Cryptography 23 Cryptography and Communications 14 Journal of Number Theory 13 Finite Fields and their Applications 10 Discrete Mathematics 9 Information Processing Letters 8 Applied Mathematics and Computation 7 Information Sciences 6 Bulletin of the Australian Mathematical Society 4 Applicable Algebra in Engineering, Communication and Computing 4 Advances in Mathematics of Communications 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Theoretical Computer Science 3 Applied Mathematics Letters 3 International Journal of Computer Mathematics 3 Linear Algebra and its Applications 3 Turkish Journal of Mathematics 3 Journal of Mathematical Chemistry 3 Journal of Systems Science and Complexity 3 Mediterranean Journal of Mathematics 3 Journal of Mathematical Cryptology 2 Lithuanian Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Proceedings of the American Mathematical Society 2 Mathematical and Computer Modelling 2 International Journal of Foundations of Computer Science 2 Discrete Mathematics and Applications 2 Journal of Algebraic Combinatorics 2 Journal of Inequalities and Applications 2 Journal of Integer Sequences 2 Integers 2 Journal of the Australian Mathematical Society 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Asian-European Journal of Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Mathematics 2 Cogent Mathematics 2 Prikladnaya Diskretnaya Matematika 1 Journal of Mathematical Physics 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Chaos, Solitons and Fractals 1 ACM Transactions on Mathematical Software 1 Acta Arithmetica 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Information and Computation 1 SIAM Journal on Discrete Mathematics 1 Numerical Algorithms 1 Elemente der Mathematik 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 SIAM Journal on Optimization 1 Journal de Théorie des Nombres de Bordeaux 1 Applicationes Mathematicae 1 ETNA. Electronic Transactions on Numerical Analysis 1 Complexity 1 Discussiones Mathematicae. Graph Theory 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 The Ramanujan Journal 1 Honam Mathematical Journal 1 Journal of Combinatorial Optimization 1 Annals of Combinatorics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 International Journal of Modern Physics C 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Quantum Information Processing 1 International Journal of Computational Methods 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 International Journal of Number Theory 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Involve 1 Advances in Mathematical Physics 1 Probability Surveys 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Journal of Discrete Mathematics ...and 3 more Serials
all top 5

#### Cited in 30 Fields

 141 Information and communication theory, circuits (94-XX) 122 Number theory (11-XX) 82 Order, lattices, ordered algebraic structures (06-XX) 66 Combinatorics (05-XX) 31 Numerical analysis (65-XX) 22 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Operator theory (47-XX) 5 Algebraic geometry (14-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Group theory and generalizations (20-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)