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Regular version of the site

Article

Коды с малой плотностью проверок, основанные на полях Галуа

Информационные процессы. 2012. Т. 12. № 1. С. 68-83.
Иванов Ф. И., Зяблов В. В., Потапов В. Г.

Methods for constructing a mapping of the elements of a multiplicative group of a Galois field onto a symmetric group of permutation matrices are proposed. A technique minimizing the order of the symmetric group is suggested. The results are used for constructing an ensemble of low-density parity-check codes. The obtained code constructions are tested on an iterative belief propagation (sum-product) decoding algorithm on transmission of a code word through a binary channel with an additive Gaussian white noise.