Error correcting codes and cryptography: generalized weights of convolutional code...
Algebraic and geometric fundamentals of geometrically uniform codes
Superregular matrices, product codes and cryptographic sequences
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Author(s): |
Total Authors: 3
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Affiliation: | [1] Quaid I Azam Univ, Dept Math, Islamabad - Pakistan
[2] UNESP, Dept Math, Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 2
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Document type: | Journal article |
Source: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 30, n. 2, p. 349-366, 2011-00-00. |
Abstract | |
This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1]. (AU) |