Witt Rings and Permutation Polynomials

• 来源期刊: 代数集刊（英文版）
• 关键词: polynomial function permutation polynomial Witt polynomial Witt vector ring
• 年，卷（期）: 2005,（1）
• 页码范围: 161-169
• 页数: 9页
• 语种: 英文

摘要

Let p be a prime number. In this paper, the author sets up a canonical correspondence between polynomial functions over Z/p2Z and 3-tuples of polynomial functions over Z/pZ. Based on this correspondence, he proves and reproves some fundamental results on permutation polynomials mod pl. The main new result is the characterization of strong orthogonal systems over Z/p1Z.