Hadamard Matrices Modulo 5
Copyright policy )Hadamard Matrices Modulo 5
AbstractIn this paper, we introduce modular symmetric designs and use them to study the existence of Hadamard matrices modulo 5. We prove that there exist 5‐modular Hadamard matrices of order n if and only if or . In particular, this solves the 5‐modular version of the Hadamard conjecture.
- Jeonbuk National University Korea (Republic of)
- Budapest University of Technology and Economics Hungary
modular Hadamard matrix, modular symmetric design, 05B20, 05B05, FOS: Mathematics, Mathematics - Combinatorics, combinatorial design, Combinatorics (math.CO), Combinatorial aspects of block designs, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
modular Hadamard matrix, modular symmetric design, 05B20, 05B05, FOS: Mathematics, Mathematics - Combinatorics, combinatorial design, Combinatorics (math.CO), Combinatorial aspects of block designs, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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