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2003•Unpublished venueRequires access

Cyclic and pseudo-cyclic byte error-correcting codes

Ioan Cleju, Adriana Sîrbu

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Abstract

The correction properties of a cyclic code depend on the generator polynomial, g(X). The authors have constructed and implemented in C++ an algorithm to identify such properties by analyzing all the remainders modulo g(X). In this paper we apply the algorithm to determine a binary generator polynomial for error correcting codes over GF(2/sup s/).

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What this paper is about

The correction properties of a cyclic code depend on the generator polynomial, g(X). The authors have constructed and implemented in C++ an algorithm to identify such properties by analyzing all the remainders modulo g(X). In this paper we apply the algorithm to determine a binary generator polynomial for error correcting codes over GF(2/sup s/).

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Available abstract

The correction properties of a cyclic code depend on the generator polynomial, g(X). The authors have constructed and implemented in C++ an algorithm to identify such properties by analyzing all the remainders modulo g(X). In this paper we apply the algorithm to determine a binary generator polynomial for error correcting codes over GF(2/sup s/).

Key concepts: Cyclic code, Modulo, Polynomial code, Error detection and correction, Binary number, Byte, Generator (circuit theory), Polynomial

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