Article ID Journal Published Year Pages File Type
4583430 Finite Fields and Their Applications 2008 12 Pages PDF
Abstract

We introduce two new infinite families of APN functions, one on fields of order 22k for k not divisible by 2, and the other on fields of order 23k for k not divisible by 3. The polynomials in the first family have between three and k+2 terms, the second family's polynomials have three terms.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory