Монография посвящена новому направлению математической логики—реализации
параллельных логических вычислений посредством арифметико-логических форм …

The residue-to-binary conversion is the crucial step for residue arithmetic. The traditional
methods are the Chinese remainder theorem (CRT) and the mixed radix conversion. This …

Error detection and correction code based on Redundant Residue Number System (RRNS)
has a unique advantage that arithmetical processing errors can also be corrected. Existing …

One of the most important considerations when designing residue number systems (RNSs)
is the choice of the moduli set; this is due to the fact that the dynamic range of the system, its …

This paper presents a new algorithm for the correction of single residue digit error in
Redundant Residue Number System. The location and magnitude of error can be extracted …

Residue number system (RNS) is a number representation system that represents a large
integer with several smaller integers. Due to its ability to perform addition and multiplication …

This paper provides: 1) a very brief motivation and technological trend data to show why
hard and soft errors are expected to be of increasing concern in the future; 2) a summary …

A novel number theoretic transform called Inverse Gray Robust Symmetrical Number System
(IGRSNS) is proposed for error control coding in this paper. IGRSNS is obtained by …

A robust Chinese remainder theorem (CRT) has been recently proposed, that is, a large
integer less than the least common multiple (lcm) of all the moduli can be robustly …

This paper investigates polynomial remainder codes with non-pairwise coprime moduli. We
first consider a robust reconstruction problem for polynomials from erroneous residues when …