• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.6 no.1
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• pp.109-119
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• 2002

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.