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Remark on a result of Constantine

Combinatorics 2016-03-15 v2 Information Theory math.IT

Abstract

In this short note we construct codes of length 4n4n with 8n+88n+8 codewords and minimum distance 2n22n-2 whenever 4n+44n+4 is the order of a Hadamard matrix. This generalises work of Constantine who obtained a similar result in the special case that nn is a prime power.

Cite

@article{arxiv.1511.08073,
  title  = {Remark on a result of Constantine},
  author = {Padraig Ó Catháin},
  journal= {arXiv preprint arXiv:1511.08073},
  year   = {2016}
}

Comments

3 pages

R2 v1 2026-06-22T11:54:06.290Z