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Vectorizing computations at decoding of nonbinary codes with small density of checks. (English. Russian original) Zbl 1355.94097
Autom. Remote Control 77, No. 10, 1781-1791 (2016); translation from Avtom. Telemekh. 2016, No. 10, 109-122 (2016).
Summary: 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.
MSC:
94B60 Other types of codes
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