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Construction of symmetric Hadamard matrices of order 4v for v=47,73,113 · arXivDesk

1710.03037Oct 9, 201716 pages, 3 figures, 1 table

Construction of symmetric Hadamard matrices of order $4v$ for $v=47,73,113$

N. A. Balonin, D. Z. Djokovic, D. A. Karbovskiy

Abstract

We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction. In a previous paper this search covered the orders $4v$ with odd $v\le41$ . In this paper we cover the cases $v=43,45,47,49,51$ . The odd integers

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We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction. In a previous paper this search covered the orders 4v with odd v≤41.

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The paper addresses: Construction of symmetric Hadamard matrices of order 4v for v=47,73,113.
We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction.

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Author comment: 16 pages, 3 figures, 1 table

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Nearby in the stack

v<120

for which no symmetric Hadamard matrices of order

4v

are known are the following:

47,59,65,67,73,81,89,93,101,103,107,109,113,119.

By using the propus construction, we found several symmetric Hadamard matrices of order

4v

for

v=47,73,113

.

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