Coset distribution of triple-error-correcting binary primitive BCH codes

被引：0
|
作者：
Charpin, P [1 ]
Helleseth, T [1 ]
Zinoviev, V [1 ]
机构：
[1] Inst Natl Rech Informat & Automat, F-78153 Le Chesnay, France
来源：
2005 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), VOLS 1 AND 2 | 2005年
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D O I：
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中图分类号：
TN [电子技术、通信技术];
学科分类号：
0809 ;
摘要：
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.
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页码：1972 / 1976
页数：5
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