Thomas W. Cusick

Publication Activity (10 Years)

Years Active: 1974-2024
Publications (10 Years): 27

Top Topics

Boolean Functions

Functional Properties

Prime Implicants

Top Venues

Discret. Appl. Math.

Des. Codes Cryptogr.

Publications

Alexandru Chirvasitu, Thomas W. Cusick
Quadratic rotation symmetric Boolean functions. Discret. Appl. Math. 343 (2024)
Thomas W. Cusick
Using easy coefficients conjecture for rotation symmetric Boolean functions. Inf. Sci. 659 (2024)
Zeenath A. U., K. V. Lakshmy, Thomas W. Cusick, M. Sethumadhavan
Construction and enumeration of balanced rotation symmetric Boolean functions. Discret. Appl. Math. 357 (2024)
Alexandru Chirvasitu, Thomas W. Cusick
Quadratic rotation symmetric Boolean functions. CoRR (2023)
Thomas W. Cusick, Younhwan Cheon
The weight recursions for the 2-rotation symmetric quartic Boolean functions. Adv. Math. Commun. 17 (3) (2023)
Alexandru Chirvasitu, Thomas W. Cusick
Symbolic dynamics and rotation symmetric Boolean functions. Cryptogr. Commun. 14 (5) (2022)
Thomas W. Cusick, Younhwan Cheon
Weights for short quartic Boolean functions. Inf. Sci. 547 (2021)
Thomas W. Cusick
Simpler proof for nonlinearity of majority function. Discret. Appl. Math. 297 (2021)
Thomas W. Cusick, Younhwan Cheon, Kelly Dougan
Equivalence of 2-rotation symmetric quartic Boolean functions. Inf. Sci. 508 (2020)
Alexandru Chirvasitu, Thomas W. Cusick
Affine equivalence for quadratic rotation symmetric Boolean functions. Des. Codes Cryptogr. 88 (7) (2020)
Alexandru Chirvasitu, Thomas W. Cusick
Symbolic dynamics and rotation symmetric Boolean functions. CoRR (2019)
Alexandru Chirvasitu, Thomas W. Cusick
Affine equivalence for quadratic rotation symmetric Boolean functions. CoRR (2019)
Thomas W. Cusick
Weight Recursions for Any Rotation Symmetric Boolean Functions. IEEE Trans. Inf. Theory 64 (4) (2018)
Elizabeth M. Reid, Thomas W. Cusick
Affine equivalence classes of 2-rotation symmetric cubic Boolean functions. Int. J. Comput. Math. Comput. Syst. Theory 3 (3) (2018)
Thomas W. Cusick
Weight = nonlinearity for all small weight Boolean functions. CoRR (2017)
Thomas W. Cusick
Weight recursions for any rotation symmetric Boolean functions. CoRR (2017)
Thomas W. Cusick, E. M. Sanger
Rotation Symmetric Bent Boolean Functions for n = 2p. CoRR (2017)
Geoffrey M. Jacquez, Aleksander Essex, Andrew Curtis, Betsy Kohler, Recinda Sherman, Khaled El Emam, Chen Shi, Andy Kaufmann, Linda Beale, Thomas W. Cusick, Daniel W. Goldberg, Pierre Goovaerts
Geospatial cryptography: enabling researchers to access private, spatially referenced, human subjects data for cancer control and prevention. J. Geogr. Syst. 19 (3) (2017)
Thomas W. Cusick
Highly nonlinear plateaued functions. IET Inf. Secur. 11 (2) (2017)
Thomas W. Cusick, Pantelimon Stanica
Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension. Cryptogr. Commun. 8 (1) (2016)
Thomas W. Cusick, K. V. Lakshmy, Madathil Sethumadhavan
Affine equivalence of monomial rotation symmetric Boolean functions: A Pólya's theorem approach. J. Math. Cryptol. 10 (3-4) (2016)
Thomas W. Cusick
Hamming weights of symmetric Boolean functions. Discret. Appl. Math. 215 (2016)
Thomas W. Cusick, Younhwan Cheon
Theory of 3-rotation symmetric cubic Boolean functions. J. Math. Cryptol. 9 (1) (2015)
Thomas W. Cusick
Permutation equivalence of cubic rotation symmetric Boolean functions. Int. J. Comput. Math. 92 (8) (2015)
Thomas W. Cusick, Bryan Johns
Recursion orders for weights of Boolean cubic rotation symmetric functions. Discret. Appl. Math. 186 (2015)
Sumanta Sarkar, Thomas W. Cusick
Initial results on the rotation symmetric bent-negabent functions. IWSDA (2015)
Thomas W. Cusick, Bryan Johns
Theory of 2-rotation symmetric cubic Boolean functions. Des. Codes Cryptogr. 76 (1) (2015)
Thomas W. Cusick, Younhwan Cheon
Affine equivalence for cubic rotation symmetric Boolean functions with n=pq variables. Discret. Math. 327 (2014)
Guangpu Gao, Thomas W. Cusick, Wenfen Liu
Families of rotation symmetric functions with useful cryptographic properties. IET Inf. Secur. 8 (6) (2014)
Thomas W. Cusick, Younhwan Cheon
Affine equivalence of quartic homogeneous rotation symmetric Boolean functions. Inf. Sci. 259 (2014)
K. V. Lakshmy, Madathil Sethumadhavan, Thomas W. Cusick
Counting rotation symmetric functions using Polya's theorem. Discret. Appl. Math. 169 (2014)
Thomas W. Cusick
Finding Hamming weights without looking at truth tables. Cryptogr. Commun. 5 (1) (2013)
Alyssa Brown, Thomas W. Cusick
Equivalence classes for cubic rotation symmetric functions. Cryptogr. Commun. 5 (2) (2013)
Maxwell L. Bileschi, Thomas W. Cusick, Daniel Padgett
Weights of Boolean cubic monomial rotation symmetric functions. Cryptogr. Commun. 4 (2) (2012)
Thomas W. Cusick, Younhwan Cheon
Affine equivalence for rotation symmetric Boolean functions with 2 k variables. Des. Codes Cryptogr. 63 (2) (2012)
Thomas W. Cusick, Alyssa Brown
variables. Finite Fields Their Appl. 18 (3) (2012)
Thomas W. Cusick, Daniel Padgett
A recursive formula for weights of Boolean rotation symmetric functions. Discret. Appl. Math. 160 (4-5) (2012)
Alyssa Brown, Thomas W. Cusick
Recursive weights for some Boolean functions. J. Math. Cryptol. 6 (2) (2012)
Thomas W. Cusick
Affine equivalence of cubic homogeneous rotation symmetric functions. Inf. Sci. 181 (22) (2011)
Thomas W. Cusick, Yuan Li, Pantelimon Stanica
On a Combinatorial Conjecture. Integers 11 (2011)
Thomas W. Cusick, Lavinia Corina Ciungu
Sum of digits sequences modulo m. Theor. Comput. Sci. 412 (35) (2011)
Thomas W. Cusick, Yuri L. Borissov
A refinement of Cusick-Cheon bound for the second order binary Reed-Muller code. Discret. Math. 310 (24) (2010)
Thomas W. Cusick
Affine equivalence of cubic homogeneous rotation symmetric Boolean functions CoRR (2010)
Thomas W. Cusick, Yuan Li, Pantelimon Stanica
On a Combinatorial Conjecture. IACR Cryptol. ePrint Arch. 2009 (2009)
Thomas W. Cusick, Yuan Li, Pantelimon Stanica
On a conjecture for balanced symmetric Boolean functions. J. Math. Cryptol. 3 (4) (2009)
Thomas W. Cusick, Yuan Li, Pantelimon Stanica
Balanced Symmetric Functions Over GF(p). IEEE Trans. Inf. Theory 54 (3) (2008)
Thomas W. Cusick, H. Fredricksen, Pantelimon Stanica
On the delta sequence of the Thue-Morse sequence. Australas. J Comb. 39 (2007)
Thomas W. Cusick, Younhwan Cheon
Variables with Bounded Degree. Exp. Math. 16 (1) (2007)
Yuan Li, Thomas W. Cusick
Strict avalanche criterion over finite fields. J. Math. Cryptol. 1 (1) (2007)
Yuan Li, Thomas W. Cusick
Linear structures of symmetric functions over finite fields. Inf. Process. Lett. 97 (3) (2006)
Yuan Li, Thomas W. Cusick
Strict Avalanche Criterion Over Finite Fields. IACR Cryptol. ePrint Arch. 2005 (2005)
Thomas W. Cusick
Polynomials over base 2 finite fields with evenly distributed values. Finite Fields Their Appl. 11 (2) (2005)
Thomas W. Cusick, Yuan Li
-th order symmetric SAC boolean functions and bisecting binomial coefficients. Discret. Appl. Math. 149 (1-3) (2005)
Thomas W. Cusick, Pantelimon Stanica
Fast evaluation, weights and nonlinearity of rotation-symmetric functions. Discret. Math. 258 (1-3) (2002)
Thomas W. Cusick, Guang Gong
A conjecture on binary sequences with the "Trinomial property". IEEE Trans. Inf. Theory 47 (1) (2001)
Thomas W. Cusick
Computer Licence Plates. Comput. Secur. 20 (5) (2001)
Thomas W. Cusick
[untitled]. Am. Math. Mon. 107 (4) (2000)
Thomas W. Cusick
The Ajtai Random Class of Lattices. Theor. Comput. Sci. 226 (1-2) (1999)
Jin-yi Cai, Thomas W. Cusick
A Lattice-Based Public-Key Cryptosystem. Inf. Comput. 151 (1-2) (1999)
Jin-yi Cai, Thomas W. Cusick
A Lattice-Based Public-Key Cryptosystem. Selected Areas in Cryptography (1998)
Thomas W. Cusick
On Constructing Balanced Correlation Immune Functions. SETA (1998)
Thomas W. Cusick
Finite Vector Spaces and Certain Lattices. Electron. J. Comb. 5 (1998)
Thomas W. Cusick
). SIAM J. Comput. 27 (1) (1998)
Thomas W. Cusick, Pantelimon Stanica
Counting the n-Chromos of I. J. Schoenberg. J. Comb. Theory, Ser. A 79 (2) (1997)
Thomas W. Cusick, Pantelimon Stanica
Bounds on the Number of Functions Satisfying the Strict Avalanche Criterion. Inf. Process. Lett. 60 (4) (1996)
Thomas W. Cusick
Bounds on the Number of Functions Satisfying the Strict Avalanche Criterion. Inf. Process. Lett. 57 (5) (1996)
Thomas W. Cusick
A Comparison of RSA and the Naccache-Stern Public-Key Cryptosystem. Security Protocols Workshop (1996)
Thomas W. Cusick, Hans Dobbertin
Some new three-valued crosscorrelation functions for binary m-sequences. IEEE Trans. Inf. Theory 42 (4) (1996)
Thomas W. Cusick
mod N pseudorandom number generator. IEEE Trans. Inf. Theory 41 (4) (1995)
Thomas W. Cusick
Cryptanalysis of a Public Key System Based on Diophantine Equations. Inf. Process. Lett. 56 (2) (1995)
Thomas W. Cusick
Boolean Functions Satisfying a Higher Order Strict Avalanche Criterion. EUROCRYPT (1993)
Thomas W. Cusick, Michael C. Wood
The REDOC II Cryptosystem. CRYPTO (1990)
Thomas W. Cusick
Recurrences for sums of powers of binomial coefficients. J. Comb. Theory, Ser. A 52 (1) (1989)
Thomas W. Cusick
View-Obstruction Problems in n-Dimensional Geometry. J. Comb. Theory, Ser. A 16 (1) (1974)