Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895609 | Finite Fields and Their Applications | 2018 | 13 Pages |
Abstract
Generalized almost perfect nonlinear (GAPN) functions are algebraic generalization of almost perfect nonlinear functions and have important applications in cryptography and finite geometry. Based on the well known binomial theorem and some combinatory formulas, the conjecture proposed by Kuroda is partially disproved and three new classes of GAPN power functions for odd characteristic are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zhengbang Zha, Lei Hu, Zhizheng Zhang,