Mission-Critical Systems, Paradox of Hamming Code, Row Hammer Effect, Trojan Horse' of the Binary System and Numeral Systems with Irrational Bases

摘要

This article deals with a wide range of issues related to the design of specialized computing and measuring systems for mission-critical applications, in which the requirements of reliability and noise immunity are put to the fore. Among these issues, we consider: paradox of the Hamming code, the ‘row hammer effect’, the ‘Trojan horse’ of the binary system. It is discussed the issue of the use of numeral systems with irrational bases (Bergman’s system, ternary mirror-symmetric arithmetic, Fibonacci p-codes and codes of the golden p-proportions) for the design of specialized computing and measuring systems for mission-critical applications.