Defining Sets of Cyclic Codes Invariant Under the Affine Group

Kanat Abdukhalikov

doi:10.1016/S1571-0653(04)00184-2

Defining Sets of Cyclic Codes Invariant Under the Affine Group

Kanat Abdukhalikov

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

4 Citations (Scopus)

Abstract

We describe the defining sets of extended cyclic codes of length pⁿ 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)	328-336
Number of pages	9
Journal	Electronic Notes in Discrete Mathematics
Volume	6
DOIs	https://doi.org/10.1016/S1571-0653(04)00184-2
Publication status	Published - Apr 2001
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

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10.1016/S1571-0653(04)00184-2

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 pn 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 = "Kanat Abdukhalikov",

year = "2001",

month = apr,

doi = "10.1016/S1571-0653(04)00184-2",

language = "English",

volume = "6",

pages = "328--336",

journal = "Electronic Notes in Discrete Mathematics",

issn = "1571-0653",

publisher = "Elsevier",

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TY - JOUR

T1 - Defining Sets of Cyclic Codes Invariant Under the Affine Group

AU - Abdukhalikov, Kanat

PY - 2001/4

Y1 - 2001/4

N2 - We describe the defining sets of extended cyclic codes of length pn 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 pn 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

UR - https://www.scopus.com/pages/publications/34247170111

UR - https://www.scopus.com/inward/citedby.url?scp=34247170111&partnerID=8YFLogxK

U2 - 10.1016/S1571-0653(04)00184-2

DO - 10.1016/S1571-0653(04)00184-2

M3 - Article

AN - SCOPUS:34247170111

SN - 1571-0653

VL - 6

SP - 328

EP - 336

JO - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics

ER -

Defining Sets of Cyclic Codes Invariant Under the Affine Group

Abstract

Keywords

ASJC Scopus subject areas

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