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Two new classes of compound-error correcting codes and their performance

Electronics and Communications in Japan (Part III: Fundamental Electronic Science) 1998年第1期80卷

作者： Yukari Ono Masao Kasahara Mitsubishi Electric Corporation Nagaokakyo Japan 617 Department of Electronics and Information Science Faculty of Engineering and Design Kyoto Institute of Technology Kyoto Japan 606

The major errors that occur in a communication channel are the random error and the burst error. The codes considered in the past are mostly to correct one of those errors. The errors that occur in an actual channel, however, are not necessarily restricted to either the random or the burst error. It is obviously more general to consider the case where both types of error occur in a mixed way. This paper considers the case where the random and the burst errors occur in the same code word, and proposes the construction of the code, together with the decoding method, to enable errors to be corrected with a sufficiently high probability. The proposed code is constructed by combining the BCH code with the Fire code, which is the burst error-correcting code. Hence, the random error-correcting ability also is provided. The property that the burst error pattern can approximately be derived is utilized even if there exists a random error, and both errors can be corrected. Then, a code with a higher efficiency is given and is compared to the Reed-Solomon code. It is shown, as a result, that the coding/decoding method proposed in this paper is useful in the bursty compound-error channel. © 1997 Scripta Technica, Inc. Electron Comm Jpn Pt 3, 80(1): 91–103, 1997

关键词： compound-error correcting code Reed-Solomon code Fire code decoding method

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