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- W2097151077 abstract "It is well known that the problem of finding stabilizer quantum-error-correcting codes (QECC) is transformed into the problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to classify the extremal additive circulant self-dual codes of lengths up to 15, and construct good codes for lengths 16/spl les/n/spl les/27. We also classify the extremal additive 4-circulant self-dual codes of lengths 4,6,8,12,14, and 16 and most codes of length 10, and construct good codes of even lengths up to 22. Furthermore, we classify the extremal additive bordered 4-circulant self-dual codes of lengths 3,5,7,9,11,13,15, and 17, and construct good codes for lengths 19,21,23, and 25. We give the current status of known extremal (or optimal) additive self-dual codes of lengths 12 to 27." @default.
- W2097151077 created "2016-06-24" @default.
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- W2097151077 date "2004-02-01" @default.
- W2097151077 modified "2023-10-06" @default.
- W2097151077 title "Circulant Based Extremal Additive Self-Dual Codes Over>tex<$hboxGF,(4)$>/tex<" @default.
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- W2097151077 doi "https://doi.org/10.1109/tit.2003.822616" @default.
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