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Decoding of linear codes over Galois rings

✍ Scribed by Babu, N.S.; Zimmermann, K.-H.


Book ID
114541919
Publisher
IEEE
Year
2001
Tongue
English
Weight
146 KB
Volume
47
Category
Article
ISSN
0018-9448

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GrΓΆbner Bases over Galois Rings with an
✍ Eimear Byrne; Patrick Fitzpatrick πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 346 KB

We develop a theory of GrΓΆbner bases over Galois rings, following the usual formulation for GrΓΆbner bases over finite fields. Our treatment includes a division algorithm, a characterization of GrΓΆbner bases, and an extension of Buchberger's algorithm. One application is towards the problem of decodi