Journal of the Korean Society for Industrial and Applied Mathematics
- 제6권1호
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- Pages.109-119
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- 2002
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- 1226-9433(pISSN)
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- 1229-0645(eISSN)
THE ORPHAN STRUCTURE OF BCH(3, m) CODE
- HWANG, GEUM-SUG (Division of Information and Management Science, College of Information and Science, Pusan University of Foreign Studies)
- 발행 : 2002.06.30
초록
If C is a code, an orphan is a coset without any parent. We investigate the structure of orphans of the code BCH(3, m). All weight 5 cosets and all weight 3 reduced cosets are orphans, and all weight 1,2 and 4 are not orphans. We conjecture that all weight 3 unreduced cosets are not orphans. We prove this conjecture for m = 4, 5.