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arxiv: 1008.2043 · v1 · pith:CI5TO2OVnew · submitted 2010-08-12 · 🧮 math.CO

Small orders of Hadamard matrices and base sequences

classification 🧮 math.CO
keywords baseexistfirsthadamardlengthsequencescaseconsequently
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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.

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