2 citations · 2 across the 2 of their papers we have counts for
4 papers
Symbolic dynamics and rotation symmetric Boolean functions
Alexandru Chirvasitu, Thomas Cusick
We identify the weights of a family of rotation symmetric Boolean functions with the cardinalities of the sets of -periodic points of a finite-type shift, re…
Affine equivalence for quadratic rotation symmetric Boolean functions
Alexandru Chirvasitu, Thomas W. Cusick
Let denote the algebraic normal form (polynomial form) of a rotation symmetric (RS) Boolean function of degree in variables and let…
Rotation Symmetric Bent Boolean Functions for n = 2p
T. W. Cusick, E. M. Sanger
It has been conjectured that there are no homogeneous rotation symmetric bent Boolean functions of degree greater than two. In this paper we begin by proving that sums of short-cyc…
Balanced Symmetric Functions over
Thomas W. Cusick, Yuan Li, Pantelimon Stanica
Under mild conditions on , we give a lower bound on the number of -variable balanced symmetric polynomials over finite fields , where is a prime number. The exis…