Thomas W. Cusick

According to our database, Thomas W. Cusick authored at least 66 papers between 1974 and 2024.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of three.

2024

Using easy coefficients conjecture for rotation symmetric Boolean functions.

Thomas W. Cusick

Inf. Sci., February, 2024

Quadratic rotation symmetric Boolean functions.

Alexandru Chirvasitu, Thomas W. Cusick

Discret. Appl. Math., January, 2024

2023

The weight recursions for the 2-rotation symmetric quartic Boolean functions.

Thomas W. Cusick, Younhwan Cheon

Adv. Math. Commun., 2023

2022

Symbolic dynamics and rotation symmetric Boolean functions.

Alexandru Chirvasitu, Thomas W. Cusick

Cryptogr. Commun., 2022

2021

Weights for short quartic Boolean functions.

Thomas W. Cusick, Younhwan Cheon

Inf. Sci., 2021

Simpler proof for nonlinearity of majority function.

Thomas W. Cusick

Discret. Appl. Math., 2021

2020

Equivalence of 2-rotation symmetric quartic Boolean functions.

Thomas W. Cusick, Younhwan Cheon, Kelly Dougan

Inf. Sci., 2020

Affine equivalence for quadratic rotation symmetric Boolean functions.

Alexandru Chirvasitu, Thomas W. Cusick

Des. Codes Cryptogr., 2020

2018

Weight Recursions for Any Rotation Symmetric Boolean Functions.

Thomas W. Cusick

IEEE Trans. Inf. Theory, 2018

Affine equivalence classes of 2-rotation symmetric cubic Boolean functions.

Elizabeth M. Reid, Thomas W. Cusick

Int. J. Comput. Math. Comput. Syst. Theory, 2018

2017

Geospatial cryptography: enabling researchers to access private, spatially referenced, human subjects data for cancer control and prevention.

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

J. Geogr. Syst., 2017

Highly nonlinear plateaued functions.

Thomas W. Cusick

IET Inf. Secur., 2017

Weight = nonlinearity for all small weight Boolean functions.

Thomas W. Cusick

CoRR, 2017

Rotation Symmetric Bent Boolean Functions for n = 2p.

Thomas W. Cusick, E. M. Sanger

CoRR, 2017

2016

Affine equivalence of monomial rotation symmetric Boolean functions: A Pólya's theorem approach.

Thomas W. Cusick, K. V. Lakshmy, Madathil Sethumadhavan

J. Math. Cryptol., 2016

Hamming weights of symmetric Boolean functions.

Thomas W. Cusick

Discret. Appl. Math., 2016

Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension.

Thomas W. Cusick, Pantelimon Stanica

Cryptogr. Commun., 2016

2015

Theory of 3-rotation symmetric cubic Boolean functions.

Thomas W. Cusick, Younhwan Cheon

J. Math. Cryptol., 2015

Permutation equivalence of cubic rotation symmetric Boolean functions.

Thomas W. Cusick

Int. J. Comput. Math., 2015

Theory of 2-rotation symmetric cubic Boolean functions.

Thomas W. Cusick, Bryan Johns

Des. Codes Cryptogr., 2015

Recursion orders for weights of Boolean cubic rotation symmetric functions.

Thomas W. Cusick, Bryan Johns

Discret. Appl. Math., 2015

Initial results on the rotation symmetric bent-negabent functions.

Sumanta Sarkar, Thomas W. Cusick

Proceedings of the Seventh International Workshop on Signal Design and its Applications in Communications, 2015

2014

Affine equivalence of quartic homogeneous rotation symmetric Boolean functions.

Thomas W. Cusick, Younhwan Cheon

Inf. Sci., 2014

Families of rotation symmetric functions with useful cryptographic properties.

Guangpu Gao, Thomas W. Cusick, Wenfen Liu

IET Inf. Secur., 2014

Affine equivalence for cubic rotation symmetric Boolean functions with n=pq variables.

Thomas W. Cusick, Younhwan Cheon

Discret. Math., 2014

Counting rotation symmetric functions using Polya's theorem.

K. V. Lakshmy, Madathil Sethumadhavan, Thomas W. Cusick

Discret. Appl. Math., 2014

2013

Finding Hamming weights without looking at truth tables.

Thomas W. Cusick

Cryptogr. Commun., 2013

Equivalence classes for cubic rotation symmetric functions.

Alyssa Brown, Thomas W. Cusick

Cryptogr. Commun., 2013

2012

Recursive weights for some Boolean functions.

Alyssa Brown, Thomas W. Cusick

J. Math. Cryptol., 2012

Affine equivalence for rotation symmetric Boolean functions with p^k variables.

Thomas W. Cusick, Alyssa Brown

Finite Fields Their Appl., 2012

Affine equivalence for rotation symmetric Boolean functions with 2 k variables.

Thomas W. Cusick, Younhwan Cheon

Des. Codes Cryptogr., 2012

A recursive formula for weights of Boolean rotation symmetric functions.

Thomas W. Cusick, Daniel Padgett

Discret. Appl. Math., 2012

Weights of Boolean cubic monomial rotation symmetric functions.

Maxwell L. Bileschi, Thomas W. Cusick, Daniel Padgett

Cryptogr. Commun., 2012

2011

Sum of digits sequences modulo m.

Thomas W. Cusick, Lavinia Corina Ciungu

Theor. Comput. Sci., 2011

Affine equivalence of cubic homogeneous rotation symmetric functions.

Thomas W. Cusick

Inf. Sci., 2011

On a Combinatorial Conjecture.

Thomas W. Cusick, Yuan Li, Pantelimon Stanica

Integers, 2011

2010

A refinement of Cusick-Cheon bound for the second order binary Reed-Muller code.

Thomas W. Cusick, Yuri L. Borissov

Discret. Math., 2010

Affine equivalence of cubic homogeneous rotation symmetric Boolean functions

Thomas W. Cusick

CoRR, 2010

2009

On a conjecture for balanced symmetric Boolean functions.

Thomas W. Cusick, Yuan Li, Pantelimon Stanica

J. Math. Cryptol., 2009

2008

Balanced Symmetric Functions Over GF(p).

Thomas W. Cusick, Yuan Li, Pantelimon Stanica

IEEE Trans. Inf. Theory, 2008

2007

Counting Balanced Boolean Functions in <i>n</i> Variables with Bounded Degree.

Thomas W. Cusick, Younhwan Cheon

Exp. Math., 2007

On the delta sequence of the Thue-Morse sequence.

Thomas W. Cusick, Harold Fredricksen, Pantelimon Stanica

Australas. J Comb., 2007

2006

Linear structures of symmetric functions over finite fields.

Yuan Li, Thomas W. Cusick

Inf. Process. Lett., 2006

2005

Strict Avalanche Criterion Over Finite Fields.

Yuan Li, Thomas W. Cusick

IACR Cryptol. ePrint Arch., 2005

Polynomials over base 2 finite fields with evenly distributed values.

Thomas W. Cusick

Finite Fields Their Appl., 2005

<i>k</i>-th order symmetric SAC boolean functions and bisecting binomial coefficients.

Thomas W. Cusick, Yuan Li

Discret. Appl. Math., 2005

2002

Fast evaluation, weights and nonlinearity of rotation-symmetric functions.

Thomas W. Cusick, Pantelimon Stanica

Discret. Math., 2002

2001

A conjecture on binary sequences with the "Trinomial property".

Thomas W. Cusick, Guang Gong

IEEE Trans. Inf. Theory, 2001

Computer Licence Plates.

Thomas W. Cusick

Comput. Secur., 2001

2000

[untitled].

Thomas W. Cusick

Am. Math. Mon., 2000

1999

The Ajtai Random Class of Lattices.

Thomas W. Cusick

Theor. Comput. Sci., 1999

A Lattice-Based Public-Key Cryptosystem.

Jin-yi Cai, Thomas W. Cusick

Inf. Comput., 1999

1998

Value Sets of Some Polynomials Over Finite Fields GF(2^2m).

Thomas W. Cusick

SIAM J. Comput., 1998

Finite Vector Spaces and Certain Lattices.

Thomas W. Cusick

Electron. J. Comb., 1998

On Constructing Balanced Correlation Immune Functions.

Thomas W. Cusick

Proceedings of the Sequences and their Applications, 1998

1997

Counting the n-Chromos of I. J. Schoenberg.

Thomas W. Cusick, Pantelimon Stanica

J. Comb. Theory, Ser. A, 1997

1996

Some new three-valued crosscorrelation functions for binary m-sequences.

Thomas W. Cusick, Hans Dobbertin

IEEE Trans. Inf. Theory, 1996

Bounds on the Number of Functions Satisfying the Strict Avalanche Criterion.

Thomas W. Cusick, Pantelimon Stanica

Inf. Process. Lett., 1996

Bounds on the Number of Functions Satisfying the Strict Avalanche Criterion.

Thomas W. Cusick

Inf. Process. Lett., 1996

A Comparison of RSA and the Naccache-Stern Public-Key Cryptosystem.

Thomas W. Cusick

Proceedings of the Security Protocols, 1996

1995

Properties of the x² mod N pseudorandom number generator.

Thomas W. Cusick

IEEE Trans. Inf. Theory, 1995

Cryptanalysis of a Public Key System Based on Diophantine Equations.

Thomas W. Cusick

Inf. Process. Lett., 1995

1993

Boolean Functions Satisfying a Higher Order Strict Avalanche Criterion.

Thomas W. Cusick

Proceedings of the Advances in Cryptology, 1993

1990

The REDOC II Cryptosystem.

Thomas W. Cusick, Michael C. Wood

Proceedings of the Advances in Cryptology, 1990

1989

Recurrences for sums of powers of binomial coefficients.

Thomas W. Cusick

J. Comb. Theory, Ser. A, 1989

1974

View-Obstruction Problems in n-Dimensional Geometry.

Thomas W. Cusick

J. Comb. Theory, Ser. A, 1974