English

Small orders of Hadamard matrices and base sequences

Combinatorics 2013-01-22 v1

Abstract

We update the list of odd integers n<10000 for which an Hadamard matrix of order 4n is known to exist. We also exhibit the first example of base sequences BS(40,39). Consequently, there exist T-sequences TS(n) of length n=79. The first undecided case has the length n=97.

Cite

@article{arxiv.1008.2043,
  title  = {Small orders of Hadamard matrices and base sequences},
  author = {Dragomir Z. Djokovic},
  journal= {arXiv preprint arXiv:1008.2043},
  year   = {2013}
}

Comments

7 pages

R2 v1 2026-06-21T15:59:48.590Z