A Class of <i>n</i>-to-1 Binomials over Finite Fields
نویسندگان
چکیده
[see formula in PDF]-to-1 mappings have many applications combinatorial design, coding theory and cryptography. In this paper, by using piecewise method monomials on subsets of PDF]-th roots unity, we show a class binomials having the form PDF] over PDF].
منابع مشابه
Permutation Binomials over Finite Fields
We prove that if xm + axn permutes the prime field Fp, where m > n > 0 and a ∈ Fp, then gcd(m − n, p − 1) > √ p − 1. Conversely, we prove that if q ≥ 4 and m > n > 0 are fixed and satisfy gcd(m − n, q − 1) > 2q(log log q)/ log q, then there exist permutation binomials over Fq of the form xm + axn if and only if gcd(m,n, q − 1) = 1.
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ژورنال
عنوان ژورنال: Wuhan University Journal of Natural Sciences
سال: 2022
ISSN: ['1007-1202', '1993-4998']
DOI: https://doi.org/10.1051/wujns/2022275372