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Augmentation and decoding of compound-error-correcting codes

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3 Author(s)
Fujisawa, M. ; Univ. of Electro-Commun., Chofu, Japan ; Maeda, S. ; Sakata, S.

A compound error is any combination of burst errors with various burst lengths including random errors. The compound weight of any such error is defined as a kind of combinational metric which is a generalization of Gabidulin's metric. First, we present a fast method for calculating the weight of any word based on a kind of trellis diagram. Extending the two-dimensional trellis diagram to a three-dimensional trellis, we propose a method of constructing codes having higher coding rate by augmenting any compound-error-correcting codes. Furthermore, we propose a decoding method for any such codes by modifying the three-dimensional trellis in augmentation.

Published in:

Information Theory, 2003. Proceedings. IEEE International Symposium on

Date of Conference:

29 June-4 July 2003