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A method for improving the code rate and error correction capability of a cyclic code

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Author(s):
Shah, Tariq ; Amanullah ; de Andrade, Antonio Aparecido
Total Authors: 3
Document type: Journal article
Source: COMPUTATIONAL & APPLIED MATHEMATICS; v. 32, n. 2, p. 14-pg., 2013-07-01.
Abstract

Currently, there has been an increasing demand for operational and trustworthy digital data transmission and storage systems. This demand has been augmented by the appearance of large-scale, high-speed data networks for the exchange, processing and storage of digital information in the different spheres. In this paper, we explore a way to achieve this goal. For given positive integers , we establish that corresponding to a binary cyclic code , there is a binary cyclic code , where is a nonnegative integer, which plays a role in enhancing code rate and error correction capability. In the given scheme, the new code is in fact responsible to carry data transmitted by . Consequently, a codeword of the code can be encoded by the generator matrix of and therefore this arrangement for transferring data offers a safe and swift mode. (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