Thomas Cusick

PhD

Thomas Cusick.

Thomas Cusick

PhD

Thomas Cusick

PhD

Research Interests

Cryptography, number theory, Diophantine approximation

Education

PhD, Cambridge University, Cryptography, number theory and combinatorics

Research Summary

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

  • (with Alexandru Chirvasitu), Quadratic rotation symmetric Boolean functions, Discrete Applied Mathematics 343 (2024), 91-105
  • (with Younhwan Cheon), The weight recursions for the 2-rotation symmetric quartic Boolean functions, Advances in Mathematics of Communications 17 (2023), 598-604.
  • (with Alexandru Chirvasitu), Symbolic dynamics and rotation symmetric Boolean functions, Cryptography and Communications 14 (2022), 1091-1115.
  • Simpler proof for nonlinearity of majority function, Discrete Applied Mathematics 297 (2021), 55-59.
  • (with Younhwan Cheon), Weights for short quartic Boolean functions, Information Sciences 547 (2021), 18-27.
  • (with Alexandru Chirvasitu), Affine equivalence for quadratic rotation symmetric Boolean functions, Designs, Codes and Cryptography 88 (2020), 1301-1329.
  • (with Younhwan Cheon and Kelly Dougan), Theory of 2-rotation symmetric quartic Boolean Functions, Information Sciences 508 (2020), 358-379.
  • Weight recursions for any rotation symmetric Boolean functions, IEEE Transactions on Information Theory 64 (2018), 2962-2968.