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Two hardware implementations for modular multiplication in the AMNS: Sequential and semi-parallel.

, , , , , and . J. Inf. Secur. Appl., (2021)

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Hardware Division by Small Integer Constants., , , , and . IEEE Trans. Computers, 66 (12): 2097-2110 (2017)Efficient and secure modular operations using the Adapted Modular Number System., , and . CoRR, (2019)Efficient modular operations using the adapted modular number system., , and . J. Cryptogr. Eng., 10 (2): 111-133 (2020)Fast modulo 2n-1 and 2n;1 adder using carry-chain on FPGA., and . ACSSC, page 1155-1159. IEEE, (2013)Randomization of Arithmetic Over Polynomial Modular Number System., , , , and . ARITH, page 199-206. IEEE, (2019)An RNS Montgomery Modular Multiplication Algorithm., , and . IEEE Trans. Computers, 47 (7): 766-776 (1998)Table-Based Division by Small Integer Constants., and . ARC, volume 7199 of Lecture Notes in Computer Science, page 53-63. Springer, (2012)A software comparison of RNS and PMNS., , , and . ARITH, page 86-93. IEEE, (2022)Hardware Optimization on FPGA for the Modular Multiplication in the AMNS Representation., , , , , and . CRiSIS, volume 12026 of Lecture Notes in Computer Science, page 113-127. Springer, (2019)An IWS Montgomery Modular Multiplication Algorithm., , and . IEEE Symposium on Computer Arithmetic, page 234-239. IEEE Computer Society, (1997)