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- W2106881000 abstract "Recently Bachoc and Gaborit introduced the notion of s-extremality for binary self-dual codes, generalizing Elkies' study on the highest possible minimum weight of the shadows of binary self-dual codes. In this paper, we introduce a concept of s-extremality for additive self-dual codes over F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>4</sub> , give a bound on the length of these codes with even distance d, classify them up to minimum distance d = 4, give possible lengths (only strongly conjectured for odd d) for which there exist s-extremal codes with 5 ≤ d ≤ 11, and give five s-extremal codes with d = 7 as well as four new s-extremal codes with d = 5. We also describe codes related to s-extremal codes." @default.
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- W2106881000 date "2006-07-01" @default.
- W2106881000 modified "2023-10-13" @default.
- W2106881000 title "s-Extremal Additive Codes over GF(4)" @default.
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- W2106881000 doi "https://doi.org/10.1109/isit.2006.262035" @default.
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