The geometric structure of relative one-weight codes | Zendy

Zihui Liu | Zendy; Xiangyong Zeng | Zendy

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The geometric structure of relative one-weight codes

Author(s) -

Zihui Liu,

Xiangyong Zeng

Publication year - 2016

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2016011

Subject(s) - mathematics , code (set theory) , weight distribution , geometric progression , upper and lower bounds , combinatorics , discrete mathematics , mathematical analysis , computer science , set (abstract data type) , engineering , programming language , aerospace engineering

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.

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