“simplex codes”的概念、定义、翻译、参考文献-科学参考

simplex codes

Computer

A family of linear error-correcting or error-detecting block codes, easily implemented as polynomial codes (by means of shift registers). Considered as (n, k) codes (see block code), they have codeword length
$n = q^{k} - 1$
Binary simplex codes have a minimum Hamming distance equal to 2^k-1. They can be regarded as Reed–Muller codes shortened by one digit, and are identical with the m-sequences of length 2^k − 1, together with the zero word. They are so called because their codewords form a simplex in Hamming space.

单词	simplex codes
释义	simplex codes Computer A family of linear error-correcting or error-detecting block codes, easily implemented as polynomial codes (by means of shift registers). Considered as (n, k) codes (see block code), they have codeword length $n = q^{k} - 1$ Binary simplex codes have a minimum Hamming distance equal to 2^k-1. They can be regarded as Reed–Muller codes shortened by one digit, and are identical with the m-sequences of length 2^k − 1, together with the zero word. They are so called because their codewords form a simplex in Hamming space.
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