Experimental analysis of large prime numbers generation in residue number system

N. Chervyakov, M. Babenko, Darya S. Konyaeva, Natalya N. Kuchukova, E. Kuchukova, Natalya G. Gudieva
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Abstract

The paper specifies the value of evaluation of accuracy necessary for correct operation of number conversion algorithm from residue number system in weighted number system with use of the approximate method. On the basis of the approximate method the method of computation of residue number system bases extension is offered. Simulation shows that when checking large prime numbers the check algorithm functioning in RNS allows to get advantages on average for 20%.
余数系统中大素数生成的实验分析
本文用近似方法给出了加权数系统中剩余数系统正确运行数转换算法所必需的精度评价值。在近似方法的基础上,给出了余数系统基的扩展计算方法。仿真结果表明,在对大素数进行校验时,RNS中的校验算法平均可获得20%的优势。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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