Affiliation:
1. Saint-Petersburg State University of Aerospace Instrumentation, 67, B. Morskaia St., 190000, Saint-Petersburg , Russian Federation
2. University of Waterloo, Department of Pure Mathematics and Institute for Quantum Computing, Waterloo, Ontario , N2L 3G1, Canada
Abstract
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 ≤ 41. In this paper we cover the cases v = 43, 45, 47, 49, 51. The odd integers 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.
Subject
Geometry and Topology,Algebra and Number Theory
Cited by
8 articles.
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