A Class of n-to-1 Binomials over Finite Fields

摘要

n-to-1 mappings have many applications in combinatorial design,coding theory and cryptography.In this paper,by using piecewise method and monomials on subsets of q+1-th roots of unity,we show a class of n-to-1 binomials having the form x^(r)(a+x^(s(q-1)))over F_(q^(2)).