Affine Invariant and Cyclic Codes over p-adic Numbers and Finite Rings

Kanat S. Abdukhalikov

doi:10.1023/A:1011227228998

Affine Invariant and Cyclic Codes over p-adic Numbers and Finite Rings

Kanat S. Abdukhalikov

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

8 Citations (Scopus)

Abstract

Affine invariant and cyclic codes over p-adic numbers and over integers modulo p^d are studied. It has been determined what cyclic codes have an extension that is affine invariant.

Original language	English
Pages (from-to)	343-370
Number of pages	28
Journal	Designs, Codes, and Cryptography
Volume	23
Issue number	3
DOIs	https://doi.org/10.1023/A:1011227228998
Publication status	Published - Aug 2001
Externally published	Yes

Keywords

Affine invariant codes
Codes over rings
Cyclic codes

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science Applications
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1023/A:1011227228998

Cite this

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title = "Affine Invariant and Cyclic Codes over p-adic Numbers and Finite Rings",

abstract = "Affine invariant and cyclic codes over p-adic numbers and over integers modulo pd are studied. It has been determined what cyclic codes have an extension that is affine invariant.",

keywords = "Affine invariant codes, Codes over rings, Cyclic codes",

author = "Abdukhalikov, \{Kanat S.\}",

year = "2001",

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doi = "10.1023/A:1011227228998",

language = "English",

volume = "23",

pages = "343--370",

journal = "Designs, Codes, and Cryptography",

issn = "0925-1022",

publisher = "Springer Netherlands",

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AB - Affine invariant and cyclic codes over p-adic numbers and over integers modulo pd are studied. It has been determined what cyclic codes have an extension that is affine invariant.

KW - Affine invariant codes

KW - Codes over rings

KW - Cyclic codes

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UR - https://www.scopus.com/pages/publications/0035426866#tab=citedBy

U2 - 10.1023/A:1011227228998

DO - 10.1023/A:1011227228998

M3 - Article

AN - SCOPUS:0035426866

SN - 0925-1022

VL - 23

SP - 343

EP - 370

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 3

ER -

Affine Invariant and Cyclic Codes over p-adic Numbers and Finite Rings

Abstract

Keywords

ASJC Scopus subject areas

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