Defining sets of cyclic codes invariant under the affine group

K. Abdukhalikov

Defining sets of cyclic codes invariant under the affine group

Research output: Contribution to journal › Article › peer-review

Abstract

We describe the defining sets of extended cyclic codes of length p ⁿ over a field and the ring of integers modulo p^e admitting the affine group AGL_m(P^t), n = mt, as a permutation group.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Electronic Notes in Discrete Mathematics
Volume	6
Publication status	Published - Dec 1 2000
Externally published	Yes

Keywords

Affine group
Affine invariant code
Automorphism group
Cyclic code
Extended cyclic code
Permutation group

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "Defining sets of cyclic codes invariant under the affine group",

abstract = "We describe the defining sets of extended cyclic codes of length p n over a field and the ring of integers modulo pe admitting the affine group AGLm(Pt), n = mt, as a permutation group.",

keywords = "Affine group, Affine invariant code, Automorphism group, Cyclic code, Extended cyclic code, Permutation group",

author = "K. Abdukhalikov",

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N2 - We describe the defining sets of extended cyclic codes of length p n over a field and the ring of integers modulo pe admitting the affine group AGLm(Pt), n = mt, as a permutation group.

AB - We describe the defining sets of extended cyclic codes of length p n over a field and the ring of integers modulo pe admitting the affine group AGLm(Pt), n = mt, as a permutation group.

KW - Affine group

KW - Affine invariant code

KW - Automorphism group

KW - Cyclic code

KW - Extended cyclic code

KW - Permutation group

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JF - Electronic Notes in Discrete Mathematics

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Defining sets of cyclic codes invariant under the affine group

Abstract

Keywords

ASJC Scopus subject areas

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