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Design of error-correcting balanced codes based on partition chain

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In this paper, error-correcting balanced codes based on partition chain are presented. The partition chain consisting of balanced vectors only can be constructed from the code partition chain of Reed-Muller codes. For the partition chain, its line coding parameters such as the maximum runlength and running digital sum are obtained. The trellis and multilevel code structure can be used to design the error-correcting balanced codes. As results, the errorcorrecting balanced codes based on the partition chain can be designed simply and they have better coding parameters than the conventional codes.

Abstract

In this paper, error-correcting balanced codes based on partition chain are presented. The partition chain consisting of balanced vectors only can be constructed from the code partition chain of Reed-Muller codes. For the partition chain, its line coding parameters such as the maximum runlength and running digital sum are obtained. The trellis and multilevel code structure can be used to design the error-correcting balanced codes. As results, the errorcorrecting balanced codes based on the partition chain can be designed simply and they have better coding parameters than the conventional codes.

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