Open AccessTHE CHARACTERISTICS OF ERROR DETECTION BY CODES WITH THE SUMMATION OF SINGLE INFORMATION BITS IN THE RING OF RESIDUES, ACCORDING TO A GIVEN MODULUS ARE ANALYZED, WHICH ARE MANIFESTED IN THE SYNTHESIS OF BUILT-IN CONTROL CIRCUITS USING THE BOOLEAN COMPLEMENT METHOD
Author(s) -
Д.В. Ефанов,
Llc Stc «Kompleksnyye sistemy monitoringa»,
G. V. Osadchiy,
Marina Zueva
Publication year - 2021
Publication title -
avtomatika na transporte
Language(s) - English
Resource type - Journals
eISSN - 2658-4468
pISSN - 2412-9186
DOI - 10.20295/2412-9186-2021-7-2-284-314
Subject(s) - complement (music) , modular design , focus (optics) , computer science , class (philosophy) , ring (chemistry) , code (set theory) , error detection and correction , algorithm , theoretical computer science , key (lock) , artificial intelligence , programming language , biochemistry , chemistry , physics , optics , organic chemistry , set (abstract data type) , complementation , gene , phenotype , computer security
Errors occurring in the control vectors are always detected. Unlike previous studies in this subject area, the authors focus on the features of error detection by modular sum codes in all codewords, and not just in information vectors. Previously unknown properties of error detection by modular sum- mation codes with their classification by types (unidirectional, symmetrical and asymmetrical errors) and multiplicities have been established. Catalogs of detailed characteristics of modular sum codes are provided. The key patterns inherent in this class of codes are described. The research results can be used in organizing built-in control circuits using the Boolean complement method, in solving other problems of technical diagnostics, where it is important to know the properties of detecting errors in code words, as well as problems of data protection and transmission