%0 Journal Article %A Kasianchuk , Mikhail N. %A Nykolaychuk , Yaroslav N. %A Yakymenko , Igor Z. %D 2016 %I Begell House %K system of the RNS MPF modules, theory and methods of search, inverse element by module, numbers capacity decreasing, consecutive elements of the Fibonacci series %N 8 %P 56-63 %R 10.1615/JAutomatInfScien.v48.i8.60 %T Theory and Methods of Constructing of Modules System of the Perfect Modified Form of the System of Residual Classes %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,0b42a4715f469a3d,7745bab508459bcc.html %V 48 %X The paper contains the theoretical backgrounds and methods of finding the system of modules of modified perfect form of the system of residual classes, thus reducing the computational complexity by avoiding the most labor-intensive operation − finding the inverse element by module. The proposed theory is presented on examples of a three-modules system and is a background for the calculation of the modified perfect form of the system of residual classes for the greater number of modules. %8 2016-10-05