Small orders of Hadamard matrices and base sequences

zbMATH Open1247.05041arXiv1008.2043MaRDI QIDQ2908099

Dragomir Ž. Đoković

Publication date: 4 September 2012

Published in: International Mathematical Forum (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1008.2043

zbMATH Keywords

Hadamard matricesorthogonal designsbase sequences\(T\)-sequencesWilliamson-type matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other designs, configurations (05B30)

Related Items (1)

Some New Orders of Hadamard and Skew‐Hadamard Matrices

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