Cyclic [6,3,4] group code and the hexacode over GF(4)

Moshe Ran; Jakov Snyders

Cyclic [6,3,4] group code and the hexacode over GF(4)

Moshe Ran^*, Jakov Snyders

^*Corresponding author for this work

Department of Electrical Engineering - Systems

Tel Aviv University

Research output: Contribution to conference › Paper › peer-review

Abstract

A [6,3,4] code H₆ over an Abelian group A₄ with four elements is presented. H₆ is cyclic, unlike the [6,3,4] hexacode E₆ over GF(4). However, H₆ and E₆ are isomorphic when the latter is viewed as a group code. H₆ is the smallest member of a class of [2k, k, 4] cyclic and reversible codes over A₄.

Original language	English
Pages	275
Number of pages	1
State	Published - 1995
Event	Proceedings of the 1995 IEEE International Symposium on Information Theory - Whistler, BC, Can Duration: 17 Sep 1995 → 22 Sep 1995

Conference

Conference	Proceedings of the 1995 IEEE International Symposium on Information Theory
City	Whistler, BC, Can
Period	17/09/95 → 22/09/95

Cite this

@conference{b8c17047df0848898e35674912f8bbef,

title = "Cyclic [6,3,4] group code and the hexacode over GF(4)",

abstract = "A [6,3,4] code H6 over an Abelian group A4 with four elements is presented. H6 is cyclic, unlike the [6,3,4] hexacode E6 over GF(4). However, H6 and E6 are isomorphic when the latter is viewed as a group code. H6 is the smallest member of a class of [2k, k, 4] cyclic and reversible codes over A4.",

author = "Moshe Ran and Jakov Snyders",

year = "1995",

language = "אנגלית",

pages = "275",

note = "Proceedings of the 1995 IEEE International Symposium on Information Theory ; Conference date: 17-09-1995 Through 22-09-1995",

}

TY - CONF

T1 - Cyclic [6,3,4] group code and the hexacode over GF(4)

AU - Ran, Moshe

AU - Snyders, Jakov

PY - 1995

Y1 - 1995

N2 - A [6,3,4] code H6 over an Abelian group A4 with four elements is presented. H6 is cyclic, unlike the [6,3,4] hexacode E6 over GF(4). However, H6 and E6 are isomorphic when the latter is viewed as a group code. H6 is the smallest member of a class of [2k, k, 4] cyclic and reversible codes over A4.

AB - A [6,3,4] code H6 over an Abelian group A4 with four elements is presented. H6 is cyclic, unlike the [6,3,4] hexacode E6 over GF(4). However, H6 and E6 are isomorphic when the latter is viewed as a group code. H6 is the smallest member of a class of [2k, k, 4] cyclic and reversible codes over A4.

UR - http://www.scopus.com/inward/record.url?scp=0029202480&partnerID=8YFLogxK

M3 - ???researchoutput.researchoutputtypes.contributiontoconference.paper???

AN - SCOPUS:0029202480

SP - 275

T2 - Proceedings of the 1995 IEEE International Symposium on Information Theory

Y2 - 17 September 1995 through 22 September 1995

ER -

Cyclic [6,3,4] group code and the hexacode over GF(4)

Abstract

Conference

Other files and links

Fingerprint

Cite this