Improved Sum of Residues Modular Multiplication Algorithm

Autor: Mohamad Ali Mehrabi
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Cryptography, Vol 3, Iss 2, p 14 (2019)
Druh dokumentu: article
ISSN: 2410-387X
DOI: 10.3390/cryptography3020014
Popis: Modular reduction of large values is a core operation in most common public-key cryptosystems that involves intensive computations in finite fields. Within such schemes, efficiency is a critical issue for the effectiveness of practical implementation of modular reduction. Recently, Residue Number Systems have drawn attention in cryptography application as they provide a good means for extreme long integer arithmetic and their carry-free operations make parallel implementation feasible. In this paper, we present an algorithm to calculate the precise value of “ X mod p ” directly in the RNS representation of an integer. The pipe-lined, non-pipe-lined, and parallel hardware architectures are proposed and implemented on XILINX FPGAs.
Databáze: Directory of Open Access Journals