On ℤ4- and ℤ9-linear lifts of the Golay codes

Marcus Greferath; Emanuele Viterbo

doi:10.1109/18.796396

On ℤ₄- and ℤ₉-linear lifts of the Golay codes

Marcus Greferath
, Emanuele Viterbo

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

1 Citation (Scopus)

Abstract

We analyze ℤ₄- and ℤ₉-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
Number of pages	4
Journal	IEEE Transactions on Information Theory
Volume	45
Issue number	7
DOIs	https://doi.org/10.1109/18.796396
Publication status	Published - 1 Dec 1999
Externally published	Yes

Keywords

Codes over rings
Decoding
Golay codes
Weight functions on rings

Access to Document

10.1109/18.796396

Cite this

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title = "On ℤ4- and ℤ9-linear lifts of the Golay codes",

abstract = "We analyze ℤ4- and ℤ9-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 over rings, Decoding, Golay codes, Weight functions on rings",

author = "Marcus Greferath and Emanuele Viterbo",

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AU - Viterbo, Emanuele

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AB - We analyze ℤ4- and ℤ9-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 over rings

KW - Decoding

KW - Golay codes

KW - Weight functions on rings

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