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Усовершенствованный алгоритм нулевизации в модулярных полиномиальных кодах

Усовершенствованный алгоритм нулевизации в модулярных полиномиальных кодах

Abstract

Применение кодов полиномиальной системы классов вычетов (ПСКВ) позволяет не только повысить скорость вычислений, но и обеспечить процедуры поиска и коррекции ошибок. В работе показано, что использование двух контрольных основания позволяет исправлять все однократные ошибки в модулярных кодовых конструкциях. С целью сокращения временных затрат на выполнение процедур поиска и коррекции ошибок в статье предлагается провести усовершенствование алгоритма нулевизации. Переход к параллельному алгоритму вычисления позиционной характеристики следа позволяет не только повысить скорость вычислений, но и сокращает аппаратурные затраты. Проведен сравнительный анализ реализаций последовательного и усовершенствованного алгоритма нулевизации.

Application code polynomial system of residue classes (PSKV) not only improves the speed of computation, but also to ensure the search procedure and error correction. It is shown that the use of two control base allows you to fix all single error in code in modular designs. With a view to reducing the time to perform the search and correction of errors in the article proposed that the improvement algorithm nulevizatsii. Transition to parallel_reduce computing positional characteristics should not only improves the speed of computation, but also reduces the hardware cost. A comparative analysis of serial implementations and advanced algorithm nulevizatsii.

Keywords

КОРРЕКТИРУЮЩИЕ КОДЫ, ПОЛИНОМИАЛЬНАЯ СИСТЕМА КЛАССОВ ВЫЧЕТОВ, ПОЗИЦИОННЫЕ ХАРАКТЕРИСТИКИ КОДА, НУЛЕВИЗАЦИЯ КОДА, СЛЕД ПОЛИНОМА

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold