Экспериментальные исследования кодов с суммированием взвешенных разрядов с произвольными весовыми коэффициентами в кольце вычетов по заданному модулю

Abstract

Some results of the study of weighted codes with summation of different values of weight coefficients in the ring of deductions by an arbitrary modulus are presented. Such codes have not been studied in detail in the research literature. The rules for constructing weighted codes with summation are given. The peculiarities of the choice of module values and weighting coefficients for building a code with the detection of any single errors in code words are explained. The article focuses on experimental studies of the use of summation codes to detect errors at the outputs of control combinational circuits. During the experiment with control combinational schemes, the patterns inherent in this class of codes are established and described. The patterns are associated with specific ratios between the weighting coefficients, which give the same detection characteristics of the integrated control scheme. It is shown that, despite a great variety of ways of weighing the digits, some of the resulting weighted codes with summation have the same characteristics of error detection at the outputs of combinational circuits. The results of the study should be taken into account when building digital devices and systems with fault detection, when improving the means of automated design and synthesis of modern and developed microelectronic control systems.