Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771590 | Finite Fields and Their Applications | 2017 | 13 Pages |
Abstract
In [8], G. Kyureghyan showed that the function F(x)=x+γf(x) is a permutation of Fqm when f:FqmâFq is a function, γâFqm is a b-linear translator for f for some b(â â1)âFq. His idea has been extended in [19] by Qin et al. and in [9] by M. Kyureghyan and Abrahamyan to finitely many function-linear translator pairs. In this paper, we study the permutations generated by function-linear translator pairs along G. Kyureghyan's idea and prove that these permutations form groups whose group structures are well understood.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
K. Kim, J. Namgoong, I. Yie,