Correction to: On generalizations of differential uniform permutations over finite fields based on 2-to-1 mappings
Abstract
Correction to: AAECC (2025) h t t p s : / / d o i . o r g / 1 0 . 1 0 0 7 / s 0 0 2 0 0 -0 2 5 -0 0 6 9 1 -9A careful re-examination of the original work indicates that certain mathematical imprecisions influenced the accuracy of some results.The following corrections are given in detail, using the same notation as in the original paper [1].Theorem [Thoerem 3.1 [1]], demonstrates that t(x) does not possess the PcN property when g(x) is nonlinear.To address both linear and nonlinear aspects of g(x), it is necessary that t(x) is a permutation.By imposing this permutation condition on t(x), the following result is established as Theorem 1.
Fields of Study & Subjects
Coding theory and cryptography
Finite Group Theory Research
Limits and Structures in Graph Theory
Publication details
- Journal / source
- Applicable Algebra in Engineering Communication and Computing
- Volume
- 37
- Issue
- 4
- Pages
- 937–941
- Publication date
- 6 January 2026
- Language
- EN