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Idempotents, Mattson-Solomon Polynomials and Binary LDPC codes

R. Horan·C. Tjhai·M. Tomlinson·M. Ambroze·M. Ahmed
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Abstract

We show how to construct an algorithm to search for binary idempotents which may be used to construct binary LDPC codes. The algorithm, which allows control of the key properties of sparseness, code rate and minimum distance, is constructed in the Mattson-Solomon domain. Some of the new codes, found by using this technique, are displayed.

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R. Horan, C. Tjhai, M. Tomlinson, M. Ambroze, M. Ahmed. 2005-02-04. Idempotents, Mattson-Solomon Polynomials and Binary LDPC codes. https://arxiv.org/abs/cs/0502024

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