Design Method of High-Speed Checkers for Two Constant-Weight Codes with Orthogonal Combinations Across All Bits Using the Symmetric Boolean Functions

This paper aims to enhance the design method for self-checking discrete devices used in automatic control systems, based on the composition of two constantweight codes with orthogonal combinations across all bits. A method has been proposed for design high-speed checkers for the composition of constant-weight codes with orthogonal combinations across all bits. This approach entails the construction of checkers based on detectors of the two constant-weight codes, utilizing the properties of symmetric Boolean functions. Dependencies have been established that enable the determination of the complexity indicator for the technical implementation of the checker, applicable to any length of code words. Some properties and characteristics of the synthesized testers are presented. The technique for synthesizing testers for a composition of an arbitrary number of constant-weight codes is demonstrated. The findings of this research can be applied in the development of highly reliable and safe discrete devices using various element bases.