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CYCLIC CODES THROUGH B[X; a/b Z(0)], WITH a/b is an element of Q(+) AND b = a

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Author(s):
Shah, Tariq ; De Andrade, Antonio Aparecido
Total Authors: 2
Document type: Journal article
Source: DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS; v. 4, n. 4, p. 14-pg., 2012-12-01.
Abstract

Let B[X; S] be a monoid ring with any fixed finite unitary commutative ring B and a/b Z(0) is the monoid S such that b = a + 1, where a is any positive integer. In this paper we constructed cyclic codes, BCH codes, alternant codes, Goppa codes, Srivastava codes through monoid ring B[ X; a/b Z(0)]. For a = 1, almost all the results contained in [16] stands as a very particular case of this study. (AU)

FAPESP's process: 11/03441-2 - Codes and lattices with applications
Grantee:Antonio Aparecido de Andrade
Support Opportunities: Research Grants - Visiting Researcher Grant - International