English

The equivalent identities of the MacWilliams identity for linear codes

Information Theory 2014-02-11 v2 math.IT

Abstract

We use derivatives to prove the equivalences between MacWilliams identity and its four equivalent forms, and present new interpretations for the four equivalent forms. Our results explicitly give out the relationships between MacWilliams identity and its four equivalent forms.

Cite

@article{arxiv.1401.3582,
  title  = {The equivalent identities of the MacWilliams identity for linear codes},
  author = {Xiaomin Bao},
  journal= {arXiv preprint arXiv:1401.3582},
  year   = {2014}
}
R2 v1 2026-06-22T02:46:07.143Z