Functions and polynomials over Galois rings

DOI10.1016/0022-314X(92)90116-7zbMath0759.11043MaRDI QIDQ1196904

Gary L. Mullen, Joel V. Brawley

Publication date: 16 January 1993

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

polynomial functionsGalois ringnumber of permutation polynomialsnumber of self-maps

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Polynomials over commutative rings (13B25)

Related Items (8)

Bhargava’s Early Work: The Genesis of <em>P</em>-Orderings ⋮ Polynomial functions over dual numbers of several variables ⋮ An algorithmic characterization of polynomial functions over \(\mathbb Z_{p^n}\) ⋮ Sylow \(p\)-groups of polynomial permutations on the integers mod \(p^n\). ⋮ Периодические свойства многомерного полиномиального генератора над кольцом Галуа. I ⋮ Polynomial functions on rings of dual numbers over residue class rings of the integers ⋮ A faster algorithm for testing polynomial representability of functions over finite integer rings ⋮ Периодические свойства многомерного полиномиального генератора над кольцом Галуа. IV

Cites Work

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• Polynomial functions (mod m)
• Polynomials and primitive elements in Galois rings
• On the power polynomial \(x^ d\) over Galois rings
• Value sets of Dickson polynomials over Galois rings
• On polynomial functions (mod m)
• Counting polynomial functions \(\pmod{p^ n}\)
• Algebraisch-zahlentheoretische Betrachtungen über Ringe. I
• Galois rings and algebraic cryptography
• Functions and polynomials ($mod p^n$)

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