Embedding into Hadamard matrices

Pankaj Kumar Manjhi ()
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Pankaj Kumar Manjhi: Vinoba Bhave University

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 1110-1116

Abstract: Abstract Some results have been obtained on the embedding of all 1 matrix $$J_{n}$$ J n of order n into the Hadamard matrix. New theorems on doubling Hadamard matrices have been obtained. Certain methods and conditions have been obtained for embedding the circulant partial Hadamard matrix of row sums 2 and 4 into the Hadamard matrix. A new representation of 4-row regular circulant partial Hadamard matrices has been identified.

Keywords: Hadamard matrix; Partial Hadamard matrix; Circulant Pantial Hadamard matrix; 05B15; 05B20; 05B30 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-025-00826-1

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