钻孔 发表于 2025-3-25 04:31:41

The Type of a Self-Dual Code,Sloane and Solé , , that certain notorious . binary codes (the Nordstrom-Robinson, Kerdock and Preparata codes) could best be understood as arising from . codes over the ring Z/4Z, and, in the case of the Kerdock code, from a self-dual linear code over Z/4Z.

减震 发表于 2025-3-25 08:27:13

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天赋 发表于 2025-3-25 15:38:46

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Conquest 发表于 2025-3-25 17:18:51

Quantum Codes,ecisely, for codes of Type 4., but as we will see, the two are extremely closely related). There is also a direct connection: the natural group of equivalences acting on a symplectic quantum code is exactly the complex Clifford group . = .(.(2II)) (cf. Theorem 6.2.1).

Freeze 发表于 2025-3-25 21:19:35

The Type of a Self-Dual Code,.man and Brualdi , Rains and Sloane ) a linear error-correcting code . is a subspace of a vector space . over a finite field F, with inner products of codewords taking values in F itself. The classical theory was enlarged in the early 1990’s by the discovery by Hammons, Kumar, Calderbank,

百灵鸟 发表于 2025-3-26 01:51:12

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PAC 发表于 2025-3-26 06:10:52

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独行者 发表于 2025-3-26 11:55:31

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别名 发表于 2025-3-26 13:06:50

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乐意 发表于 2025-3-26 20:30:42

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查看完整版本: Titlebook: Self-Dual Codes and Invariant Theory; Gabriele Nebe,Eric M. Rains,Neil J.A. Sloane Book 2006 Springer-Verlag Berlin Heidelberg 2006 Code.E