English

Z4-Linear Perfect Codes

Information Theory 2008-05-10 v1 math.IT

Abstract

For every n=2k>8n = 2^k > 8 there exist exactly [(k+1)/2][(k+1)/2] mutually nonequivalent Z4Z_4-linear extended perfect codes with distance 4. All these codes have different ranks.

Keywords

Cite

@article{arxiv.0710.0198,
  title  = {Z4-Linear Perfect Codes},
  author = {Denis Krotov},
  journal= {arXiv preprint arXiv:0710.0198},
  year   = {2008}
}

Comments

15p. Bibliography updated

R2 v1 2026-06-21T09:24:20.583Z