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On cyclic lowest density MDS array codes constructed using starters

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2 Author(s)
Mingqiang Li ; Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing, China ; Jiwu Shu

In this paper, we present a systematic study on cyclic lowest density MDS array codes constructed using starters. We first show that all cyclic lowest density MDS array codes of distance 3 and length 2n can be constructed using normalized cyclic bipyramidal starters in the additive group of congruence classes modulo 2n. We then discuss when and how to transform non-cyclic lowest density MDS array codes constructed using other starters (including even starters and patterned starters) to cyclic codes. Finally, we also discuss how to construct quasi-cyclic lowest density MDS array codes using multi-starters for an even length when no cyclic lowest density MDS array code exists for this even length.

Published in:

Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on

Date of Conference:

13-18 June 2010

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