K-CLUSTER RESIDUE NUMBER SYSTEM USING LOOK-UP TABLES WITH REDUCED DATA CAPACITY FOR ADDITION, SUBTRACTION, AND MULTIPLICATION OPERATIONS
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United States of America Patent
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May 9, 2024
app pub date -
Nov 2, 2022
filing date -
Nov 2, 2022
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Abstract
A k-cluster residue number system has a processor and a memory. The processor is used to generate an addition and subtraction look-up table and a multiplication look-up table based on periodic behaviors of the modulo to compress the sizes of the addition and subtraction look-up table and the multiplication look-up table. The addition and subtraction look-up table has 2mi cells for recording values from zero to (mi−1) in an ascending order twice, wherein mi is a coprime integer of a modular set of the k-cluster residue number system. The multiplication look-up table has S cells, where
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