English

Z4-linear Hadamard and extended perfect codes

Information Theory 2008-05-10 v1 math.IT

Abstract

If N=2k>8N=2^k > 8 then there exist exactly [(k1)/2][(k-1)/2] pairwise nonequivalent Z4Z_4-linear Hadamard (N,2N,N/2)(N,2N,N/2)-codes and [(k+1)/2][(k+1)/2] pairwise nonequivalent Z4Z_4-linear extended perfect (N,2N/2N,4)(N,2^N/2N,4)-codes. A recurrent construction of Z4Z_4-linear Hadamard codes is given.

Keywords

Cite

@article{arxiv.0710.0199,
  title  = {Z4-linear Hadamard and extended perfect codes},
  author = {Denis Krotov},
  journal= {arXiv preprint arXiv:0710.0199},
  year   = {2008}
}

Comments

7p. WCC-2001

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