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Groups of permutations generated by function–linear translator pairs.
- Source :
-
Finite Fields & Their Applications . May2017, Vol. 45, p170-182. 13p. - Publication Year :
- 2017
-
Abstract
- In [8] , G. Kyureghyan showed that the function F ( x ) = x + γ f ( x ) is a permutation of F q m when f : F q m → F q is a function, γ ∈ F q m is a b -linear translator for f for some b ( ≠ − 1 ) ∈ F q . 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 45
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 122311552
- Full Text :
- https://doi.org/10.1016/j.ffa.2016.12.003