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Decoding Affine Variety Codes Using Gröbner Bases

✍ Scribed by J. Fitzgerald; R. F. Lax


Book ID
110261127
Publisher
Springer
Year
1998
Tongue
English
Weight
274 KB
Volume
13
Category
Article
ISSN
0925-1022

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