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An Iteratively Decodable Tensor Product Code with Application to Data Storage

✍ Scribed by Alhussien, H.; Jaekyun Moon


Book ID
119797019
Publisher
IEEE
Year
2010
Tongue
English
Weight
488 KB
Volume
28
Category
Article
ISSN
0733-8716

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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