DocumentCode
1490783
Title
Decoding of linear codes over Galois rings
Author
Babu, N. Suresh ; Zimmermann, Karl-Heinz
Author_Institution
Dept. of Electr. & Comput. Eng., Tech. Univ. Hamburg-Harburg, Germany
Volume
47
Issue
4
fYear
2001
fDate
5/1/2001 12:00:00 AM
Firstpage
1599
Lastpage
1603
Abstract
We present a method for decoding an arbitrary linear code over a Galois ring ℛ by a process of lifting decoding algorithms for a family of linear codes over a finite field 𝒦 forming an α-element chain, where 𝒦 is the quotient field of ℛ and ℛ has characteristic pα. As a new result, this method also works for linear codes over ℛ which are nonfree ℛ-modules
Keywords
Galois fields; decoding; linear codes; α-element chain; Galois rings; decoding; finite field; lifting decoding algorithms; linear codes; quaternary codes; quotient field; Binary codes; Decoding; Error analysis; Galois fields; Linear code; Modules (abstract algebra); Polynomials;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.923743
Filename
923743
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