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

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Article ID:	iaor20163592
Volume:	77
Issue:	10
Start Page Number:	1781
End Page Number:	1791
Publication Date:	Oct 2016
Journal:	Automation and Remote Control
Authors:	Zhilin I, Ivanov F
Keywords:	programming: mathematical, matrices

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.

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