基于GF(8)的擦除校正新码[56,49,5]

M. Rákus, J. Oboňa, P. Farkaš
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引用次数: 3

摘要

McAuley(1994)提出了一种新的错误检测码,称为加权和码。在Farkas(1995)的另一篇论文中,表明可以使用这些代码对GF(2/sup (h/2)/)上的码字中的一个错误进行纠错。在Farkas和Rakus(1999)的论文中,提出了在GF(8)上构造的用于擦除校正的广义加权和码(GWSC-II)权谱。Rakus(2002)试图提高这些代码的擦除校正能力。在本文中,我们介绍了一种基于GF(8)构造的新的高速率[56,49,5]代码,用于使用计算机搜索找到擦除校正。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new [56,49,5] high rate code for erasure correction constructed over GF(8)
In the paper by McAuley (1994), a new family of error detection codes called Weighted Sum Codes was proposed. In another paper by Farkas (1995), it was shown that it is possible to use these codes for an error correction of one error in the codeword over GF(2/sup (h/2)/). In the paper by Farkas and Rakus (1999), a weight spectra of Generalized Weighted Sum Codes (GWSC-II) for erasure correction constructed over GF(8) were presented. An attempt to improve erasure correction capabilities of these codes were investigated by Rakus (2002). In the presented paper we introduce a new high-rate [56,49,5] code constructed over GF(8) for erasure correction found using computer search.
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