Syndrome Decoding of Symbol-Pair Codes

Makoto TAKITA  Masanori HIROTOMO  Masakatu MORII  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E98-A   No.12   pp.2423-2428
Publication Date: 2015/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E98.A.2423
Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Coding Theory
symbol-pair codes,  syndrome decoding,  pair error,  pair distance,  

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Cassuto and Blaum proposed new error correcting codes which are called symbol-pair codes. They presented a coding framework for channels whose outputs are overlapping pairs of symbols in storage applications. Such channels are called symbol-pair read channels. The pair distance and pair error are used in symbol-pair read channels. Cassuto et al. and Yaakobi et al. presented decoding algorithms for symbol-pair codes. However, their decoding algorithms cannot always correct errors whose number is not more than half the minimum pair distance. In this paper, we propose a new decoding algorithm using syndromes of symbol-pair codes. In addition, we show that the proposed algorithm can correct all pair errors within the pair error correcting capability.