论双层模块算术

IF 0.4 Q4 MATHEMATICS, APPLIED ACM Communications in Computer Algebra Pub Date : 2023-09-01 DOI:10.1145/3637529.3637534

Benjamin Chen, Yu Li, Eugene Zima

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引用次数: 0

摘要

模块化算术的两层组织被考虑在内。下层使用硬件精度的许多模块，并同时转换为/从 RNS（如 [2] 所述）。上层使用特选的大模数，允许快速还原和/或重构。在上层实施两种不同的模数选择策略，证实了所建议方法的实用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a Two-Layer Modular Arithmetic

Two-layer organization of modular arithmetic is considered. Lower layer uses many moduli at hardware precision and simultaneous conversion to/from RNS as described in [2]. Upper layer uses specially selected large moduli allowing for fast reduction and/or reconstruction. Implementation of two different strategies for selecting moduli on the upper layer confirms practicality of proposed approach.

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