Thomas Cusick

Professor
PhD, Cambridge University, Cryptography, number theory and combinatorics

Contact Information:

315 Mathematics Building
University at Buffalo
Buffalo, NY 14260-2900

Tel:  (716) 645-8801
Fax: (716) 645 5039

E-mail: cusick@buffalo.edu
Personal website: Thomas Cusick

Research

Cryptography, number theory, Diophantine approximation

Tom Cusick's research is in cryptography, especially Boolean function applications; number theory, particularly Diophantine approximation and algebraic number theory; and combinatorics.

Selected Publications

Finding Hamming weights without looking at truth tables, Cryptography and Communications
5 (2013), 7-18.

(with Younhwan Cheon) Affine equivalence of quartic homogeneous rotation symmetric Boolean
functions,  Information Sciences 259 (2014), 192-211.

(with K. V. Lakshmy and M. Sethumadhavan)  Counting rotation symmetric functions using
Polya’s theorem, Discrete Applied Mathematics 169 (2014), 162-167.

(with Younhwan Cheon)  Affine equivalence for cubic rotation symmetric Boolean functions
with n = pq variables, Discrete Mathematics 327 (2014), 51-61.

(with Guangpu Gao and Wenfen Liu) Families of rotation symmetric functions with useful
cryptographic properties, IET Information Security 8 (2014), 297-302.

(with Bryan Johns)  Theory of  2-rotation symmetric cubic Boolean functions, Designs,
Codes and Cryptography 76 (2015), 113-133.

Permutation equivalence of cubic rotation symmetric functions, International Journal of 
Computer Mathematics 92 (2015), 1568-1573.

(with Younhwan Cheon)  Theory of 3-rotation symmetric cubic Boolean functions,
Journal of Mathematical Cryptology 9 (2015), 45-62

(with Bryan Johns)  Recursion orders for weights of Boolean cubic rotation
symmetric functions, Discrete Applied Mathematics 186 (2015), 1-6. 

(with P.  Stanica)   Counting equivalence classes for monomial rotation symmetric
Boolean functions with prime dimension, Cryptography and Communications 8
(2016),  67-81.

Highly nonlinear plateaued functions, IET Information Security accepted Apr 2016.