Vectorizing computations at decoding of nonbinary codes with small density of checks


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Abstract

A modification of the decoding q-ary Sum Product Algorithm (q-SPA) was proposed for the nonbinary codes with small check density based on the permutation matrices. The algorithm described has a vector realization and operates over the vectors defined on the field GF(q), rather than over individual symbols. Under certain code parameters, this approach enables significant speedup of modeling.

About the authors

I. V. Zhilin

Kharkevich Institute for Information Transmission Problems

Author for correspondence.
Email: zhilin@iitp.ru
Russian Federation, Moscow

F. I. Ivanov

Kharkevich Institute for Information Transmission Problems

Email: zhilin@iitp.ru
Russian Federation, Moscow

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