Defining sets of extended cyclic codes invariant under the affine group

Kanat Abdukhalikov

doi:10.1016/j.jpaa.2004.02.016

Defining sets of extended 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 over 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)	1-19
Number of pages	19
Journal	Journal of Pure and Applied Algebra
Volume	196
Issue number	1
DOIs	https://doi.org/10.1016/j.jpaa.2004.02.016
Publication status	Published - Mar 2005
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2004.02.016

Cite this

@article{4c3abbc43b464dfaaa8b4d824b33f0b7,

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

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

author = "Kanat Abdukhalikov",

year = "2005",

month = mar,

doi = "10.1016/j.jpaa.2004.02.016",

language = "English",

volume = "196",

pages = "1--19",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Defining sets of extended cyclic codes invariant under the affine group

AU - Abdukhalikov, Kanat

PY - 2005/3

Y1 - 2005/3

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

UR - https://www.scopus.com/pages/publications/10644221825

UR - https://www.scopus.com/pages/publications/10644221825#tab=citedBy

U2 - 10.1016/j.jpaa.2004.02.016

DO - 10.1016/j.jpaa.2004.02.016

M3 - Article

AN - SCOPUS:10644221825

SN - 0022-4049

VL - 196

SP - 1

EP - 19

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1

ER -

Defining sets of extended cyclic codes invariant under the affine group

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this