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Full-Text Articles in Physical Sciences and Mathematics
Some Results On Self-Orthogonal And Self-Dual Codes, S. Georgiou, C. Koukouvinos, Jennifer Seberry
Some Results On Self-Orthogonal And Self-Dual Codes, S. Georgiou, C. Koukouvinos, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
We use generator matrices G satisfying GGT = aI+bJ over Zk to obtain linear self-orthogonal and self-dual codes. We give a new family of linear self-orthogonal codes over GF(3) and Z4 and a new family of linear self-dual codes over GF(3).
Weighing Matrices And Self-Orthogonal Quaternary Codes, C. Charnes, Jennifer Seberry
Weighing Matrices And Self-Orthogonal Quaternary Codes, C. Charnes, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
We consider families of linear self-orthogonal and self-dual codes over the ring Z4 which are generated by weighing matrices W (n, k) k ≡ 0 (mod 4), whose entries are interpreted as elements of the ring Z4. We obtain binary formally self-dual codes of minimal Hamming distance 4 by applying the Gray map to the quaternary codes generated by W (n, 4).