Equivalence Relations for Computing Permutation Polynomials
Sergey Bereg,
Brian Malouf,
Linda Morales
et al.
Abstract:We present a new technique for computing permutation polynomials based on equivalence relations. The equivalence relations are defined by expanded normalization operations and new functions that map permutation polynomials (PPs) to other PPs. Our expanded normalization applies to almost all PPs, including when the characteristic of the finite field divides the degree of the polynomial. The equivalence relations make it possible to reduce the size of the space, when doing an exhaustive search. As a result, we h… Show more
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