Scientific journal

ISSN 1814-2400

INFORMATION SCIENCE AND CONTROL SYSTEMS

Efanov D. V.

THREE THEOREMS ABOUT BERGER CODES IN BUILT-IN CONTROL CIRCUITS

The results of studies of Berger codes properties in built-in control circuits with an undetectable error in the information vectors of codes are represented. We proved a theorem on the percentage of undetectable errors of even multiplicity of information bits in the total number of errors of the same multiplicity. On the basis of the first theorem we proved two limit theorems in the case of multiplicity increasing of undetectable errors, as well as the number of information bits.

Keywords: Berger code, functional control, information bits, undetectable error.