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• W2626870923 abstract "Residue number system (RNS), due to its carry-free nature, is popular in many applications of high-speed computer arithmetic, especially in digital signal processing and cryptography. However, the main limiting factor of RNS is a high complexity of such operations as magnitude comparison, sign determination and overflow detection. These operations have, for many years, been a major obstacle to more widespread use of parallel residue arithmetic. This paper presents a new efficient method to perform these operations, which is based on computation and analysis of the interval estimation for the relative value of an RNS number. The estimation, which is called the interval floating-point characteristic (IFC), is represented by two directed rounded bounds that are fixed-precision numbers. Generally, the time complexities of serial and parallel computations of IFC are linear and logarithmic functions of the size of the moduli set, respectively. The new method requires only small-integer and fixed-precision floating-point operations and focuses on arbitrary moduli sets with large dynamic ranges ([Formula: see text]). Experiments indicate that the performance of the proposed method is significantly higher than that of methods based on Mixed-Radix Conversion." @default.
• W2626870923 created "2017-06-23" @default.
• W2626870923 creator A5022785929 @default.
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• W2626870923 date "2017-08-23" @default.
• W2626870923 modified "2023-09-24" @default.
• W2626870923 title "Interval Estimation of Relative Values in Residue Number System" @default.
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• W2626870923 doi "https://doi.org/10.1142/s0218126618500044" @default.
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