Non-Monomial Permutations with Differential Uniformity Six

Non-Monomial Permutations with Differential Uniformity Six

In this paper, a family of non-monomial permutations over the finite field F 2 n with differential uniformity at most 6 is proposed, where n is a positive integer. The algebraic degree of these functions is also determined.

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Veröffentlicht in:Journal of systems science and complexity 2018-08, Vol.31 (4), p.1078-1089
Hauptverfasser: Tu, Ziran, Zeng, Xiangyong
Format: Artikel
Sprache:eng
Schlagworte:
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Permutations
Statistics
Systems Theory
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Beschreibung
Zusammenfassung:In this paper, a family of non-monomial permutations over the finite field F 2 n with differential uniformity at most 6 is proposed, where n is a positive integer. The algebraic degree of these functions is also determined.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-017-6294-2