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A Note on the Stopping Redundancy of Linear Codes

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Abstract

In this paper, we study the stopping sets, stopping distance and stopping redundancy for binary linear codes. Stopping redundancy is a new concept proposed by Schwartz and Vardy recently for evaluating the performance of a linear code under iterative decoding over a binary erasure channel (BEC). Since the exact value of stopping redundancy is difficult to obtain in general, good lower and upper bounds are important. We obtain a new general upper bound on the stopping redundancy of binary linear codes which improves the corresponding results of Schwartz and Vardy.

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References

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Correspondence to Shu-Tao Xia.

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Supported by the National Natural Science Foundation of China under Grant No. 60402031, and the National Grand Fundamental Research 973 Program of China under Grant No. 2003CB314805.

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Xia, ST. A Note on the Stopping Redundancy of Linear Codes. J Comput Sci Technol 21, 950–951 (2006). https://doi.org/10.1007/s11390-006-0950-7

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  • DOI: https://doi.org/10.1007/s11390-006-0950-7

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