On Z/sub 4/- and Z/sub 9/-linear lifts of the Golay codes

M Greferath; E Viterbo

doi:10.1109/18.796396

On Z/sub 4/- and Z/sub 9/-linear lifts of the Golay codes

M Greferath^*
, E Viterbo

^*Corresponding author for this work

Not published at Aalto University

Polytechnic University of Turin
AT&T Labs

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

1 Citation (Scopus)

Abstract

We analyze Z/sub 4/S- and Z/sub 9/-linear lifts of the binary [24, 12] and ternary [12, 6]-Golay code under different weight functions on the underlying ring, and present algebraic decoding schemes for these codes.

Original language	English
Pages (from-to)	2524 - 2527
Journal	IEEE Transactions on Information Theory
Volume	45
Issue number	7
DOIs	https://doi.org/10.1109/18.796396
Publication status	Published - Nov 1999
MoE publication type	A1 Journal article-refereed

Keywords

codes of rings
decoding
Golay codes
weight functions on rings

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10.1109/18.796396

Cite this

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title = "On Z/sub 4/- and Z/sub 9/-linear lifts of the Golay codes",

abstract = "We analyze Z/sub 4/S- and Z/sub 9/-linear lifts of the binary [24, 12] and ternary [12, 6]-Golay code under different weight functions on the underlying ring, and present algebraic decoding schemes for these codes.",

keywords = "codes of rings, decoding, Golay codes, weight functions on rings",

author = "M Greferath and E Viterbo",

year = "1999",

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T1 - On Z/sub 4/- and Z/sub 9/-linear lifts of the Golay codes

AU - Greferath, M

AU - Viterbo, E

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Y1 - 1999/11

N2 - We analyze Z/sub 4/S- and Z/sub 9/-linear lifts of the binary [24, 12] and ternary [12, 6]-Golay code under different weight functions on the underlying ring, and present algebraic decoding schemes for these codes.

AB - We analyze Z/sub 4/S- and Z/sub 9/-linear lifts of the binary [24, 12] and ternary [12, 6]-Golay code under different weight functions on the underlying ring, and present algebraic decoding schemes for these codes.

KW - codes of rings

KW - decoding

KW - Golay codes

KW - weight functions on rings

U2 - 10.1109/18.796396

DO - 10.1109/18.796396

M3 - Article

SN - 0018-9448

VL - 45

SP - 2524

EP - 2527

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 7

ER -

On Z/sub 4/- and Z/sub 9/-linear lifts of the Golay codes

Abstract

Keywords

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