Abstract:
Application of module arithmetic in the problem of control of the level information safety is demonstrated in the paper with the use of a new technique referred to in the paper as integer-valued splitting. The basic definitions and concepts of the method are provided. Arousing mathematical mapping is described in details, its properties have been studied and the basic theorems have been proven with the purpose to justify the use of splitting in practical applications. The corresponding system for safe symbol transmission was programmed and used in the paper to illustrate some special features of the approach.
Keywords:module arithmetic, integer splitting method, level of splitting, integer-valued splitting properties, integer transformations, integer-valued symbol splitting.