Coset distribution of triple-error-correcting binary primitive BCH codes
Coset distribution of triple-error-correcting binary primitive BCH codes
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DOI：
10.1109/tit.2006.871605
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发表时间：
2005-10
期刊：
影响因子：
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通讯作者：
P. Charpin;T. Helleseth;V. Zinoviev
中科院分区：
文献类型：
--
作者：
P. Charpin;T. Helleseth;V. Zinoviev
二元本原三重纠错BCH码几十年来一直是人们深入研究的对象。在20世纪70年代，一系列文献确定它们的覆盖半径为5。然而，这些码到目前为止一直存在的一个问题是求它们的陪集分布。本文解决了这一问题，并由此确定了二元本原三重纠错BCH码中每个重量的陪集个数。作为结果，这也给出了最小距离为8的扩展码的陪集分布
Binary primitive triple-error-correcting BCH codes have been the object of intensive studies for several decades. In the 1970s their covering radius were determined in a series of papers to be 5. However, one problem for these codes that has been open up to now is to find their coset distribution. In this paper we solve this problem and thus determine the number of cosets of each weight in binary primitive triple-error-correcting BCH codes. As a consequence this also gives the coset distribution of the extended codes with minimal distance 8