Title: Algebraic decoding of the ternary (37, 18, 11) quadratic residue code

Authors: J. Carmelo Interlando

Addresses: Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, GMCS 415, San Diego, CA 92182-7720, USA

Abstract: The algebraic decoding of binary quadratic residue codes can be performed using the Peterson or the Berlekamp-Massey algorithm once certain unknown syndromes are determined. In this work, the technique of determining unknown syndromes is extended to the ternary case to decode the expurgated ternary quadratic residue code of length 37.

Keywords: non-binary coding; quadratic residue codes; algebraic decoding.

DOI: 10.1504/IJICOT.2011.044678

International Journal of Information and Coding Theory, 2011 Vol.2 No.1, pp.59 - 65

Received: 23 Sep 2011
Accepted: 20 Nov 2011
Published online: 29 Apr 2015 *

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