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Classification of moduli sets for residue number system with special diagonal functions

Classification of moduli sets for residue number system with special diagonal functions

The paper presents algorithms for the generation of Residue Number System (RNS) triples with SQ=2k-1 and quadruples with SQ=2k for some k. Triples and quadruples allow us to design efficient hardware implementations of non-modular operations in RNS such as division, sign detection, comparison of num...

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Bibliographic Details
Main Authors: Chervyakov, N. I., Червяков, Н. И., Lyakhov, P. A., Ляхов, П. А., Semyonova, N. F., Семенова, Н. Ф., Nazarov, A. S., Назаров, А. С., Valueva, M. V., Валуева, М. В.
Format: Статья
Language:English
Published: Institute of Electrical and Electronics Engineers Inc. 2020
Subjects:
Average bit-width
Diagonal Function (DF)
FPGA
Hardware implementation
Non-modular operations
Quadruples
Residue number system (RNS)
RNS balance
Computer hardware
Online Access:https://dspace.ncfu.ru/handle/20.500.12258/14198
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https://dspace.ncfu.ru/handle/20.500.12258/14198

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