RNS-modulo reduction upon a restricted base value set and its applicability to RSA cryptography

Author:

Schwemmlein J.,Posch K.C.,Posch R.

Publisher

Elsevier BV

Subject

Law,General Computer Science

Reference10 articles.

1. The art of computer programming;Knuth,1981

2. Vorlesungen über Zahlentheorie;Lüneburg,1978

3. Modular multiplication without trial division;Montgomery;Mathematics of Computation,1985

4. Base extension using a convolution sum in residue number systems;Posch,1993

5. Modulo reduction in residue number systems;Posch;IEEE Transactions on Parallel and Distributed Systems,1995

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1. Residue arithmetic systems in cryptography: a survey on modern security applications;Journal of Cryptographic Engineering;2020-06-25

2. RNS Montgomery reduction algorithms using quadratic residuosity;Journal of Cryptographic Engineering;2018-09-03

3. New reverse converters for the moduli set;AEU - International Journal of Electronics and Communications;2008-10

4. Fast Truncated Multiplication for Cryptographic Applications;Cryptographic Hardware and Embedded Systems – CHES 2005;2005

5. Faster Double-Size Modular Multiplication from Euclidean Multipliers;Lecture Notes in Computer Science;2003

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