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

鉆孔

The Type of a Self-Dual Code,Sloane and Solé [175], [91], [227] 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.

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天賦

Conquest

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

The Type of a Self-Dual Code,.man and Brualdi [427], Rains and Sloane [454]) 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,

百靈鳥

PAC

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