Permutation polynomials on matrices

DOI10.1016/0024-3795(87)90343-0zbMath0642.13007OpenAlexW2051446871MaRDI QIDQ1101514

Rudolf Lidl, N. S. James

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90343-0

zbMATH Keywords

polynomial functions

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Polynomials over finite fields (11T06) Polynomials over commutative rings (13B25) Polynomials and finite commutative rings (13M10)

Related Items (3)

Generalized Lucas polynomials over finite fields ⋮ Scalar polynomial functions on the nonsingular matrices over a finite field ⋮ A Class of Exceptional Polynomials

Cites Work

• Polynomials which permute the matrices over a field
• Scalar polynomial functions on the \(n\times n\) matrices over a finite field
• Polynomials over a ring that permute the matrices over that ring
• The number of polynomial functions which permute the matrices over a finite field
• Über Permutationspolynome und Permutationsfunktionen für Primzahlpotenzen
• Über die Fixpunkte von durch Dicksonpolynome dargestellten Permutationen
• On Cryptosystems Based on Polynomials and Finite Fields
• Permutation Polynomials in RSA-Cryptosystems
• Some theorems on permutation polynomials
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