English

A characterization of two-weight projective cyclic codes

Information Theory 2012-11-15 v1 math.IT Number Theory

Abstract

We give necessary conditions for a two-weight projective cyclic code to be the direct sum of two one-weight irreducible cyclic subcodes of the same dimension, following the work of Wolfmann and Vega. This confirms Vega's conjecture that all the two-weight cyclic codes of this type are the known ones in the projective case.

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Cite

@article{arxiv.1211.3189,
  title  = {A characterization of two-weight projective cyclic codes},
  author = {Tao Feng},
  journal= {arXiv preprint arXiv:1211.3189},
  year   = {2012}
}

Comments

5 pages

R2 v1 2026-06-21T22:38:00.585Z