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Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes

✍ Scribed by Sergio R. López-Permouth; Hakan Özadam; Ferruh Özbudak; Steve Szabo


Book ID
118445995
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
380 KB
Volume
19
Category
Article
ISSN
1071-5797

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Gröbner Bases over Galois Rings with an
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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