Orthogonal designs and symmetric Hadamard matrices
Dragomir \v{Z}. Djokovi\'c
TL;DR
This paper presents a novel construction method for symmetric Hadamard matrices of specific orders using orthogonal designs, advancing combinatorial design theory.
Contribution
It introduces a new construction technique for symmetric Hadamard matrices of order q(1 + q) where q is a prime power congruent to 3 mod 8.
Findings
Constructed symmetric Hadamard matrices for new orders
Extended the class of known symmetric Hadamard matrices
Provided explicit construction methods
Abstract
Our main result is the construction of symmetric Hadamard matrices of order q(1 + q) where q is a prime power congruent to 3 mod 8.
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