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The geometric structure of relative one-weight codes

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  • The geometric structure of any relative one-weight code is determined, and by using this geometric structure, the support weight distribution of subcodes of any relative one-weight code is presented. An application of relative one-weight codes to the wire-tap channel of type II with multiple users is given, and certain kinds of relative one-weight codes all of whose nonzero codewords are minimal are determined.
    Mathematics Subject Classification: Primary: 94B05; Secondary: 94B05.


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