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Results on rotation symmetric polynomials over GF(p)
Authors:Yuan Li
Affiliation:Department of Mathematics and Computer Science, Alcorn State University, Lorman, MS 39096, USA
Abstract:In this paper, we generalize the recent counting results about rotation symmetric Boolean functions to the rotation symmetric polynomials over finite fields GF(p). By using Möbius function, we obtain some formulas for more general n, the number of variables. Some known formula in Boolean case are simplified.
Keywords:Cryptography  Boolean function  Rotation symmetry  Finite fields  Polynomials  Euler function    bius function  Principle of inclusion and exclusion
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