Reina Ishikawa
Abstract
Abstract In the present paper, we give proofs of the existence of a 3‐design in the extended ternary quadratic residue code of length 14 and the extended quaternary quadratic residue code of length 18.
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Abstract In the present paper, we give proofs of the existence of a 3‐design in the extended ternary quadratic residue code of length 14 and the extended quaternary quadratic residue code of length 18.
Key concepts: Quadratic residue, Mathematics, Mathematical proof, Residue (chemistry), Ternary operation, Quadratic equation, Legendre symbol, Combinatorics