An RNS Montgomery modular multiplication algorithm, IEEE Transactions on Computers, vol.47, issue.7, pp.766-776, 1998. ,
DOI : 10.1109/12.709376
Modular multiplication and base extensions in residue number systems, Proceedings 15th IEEE Symposium on Computer Arithmetic. ARITH-15 2001, pp.59-65, 2001. ,
DOI : 10.1109/ARITH.2001.930104
Combining leak-resistant arithmetic for elliptic curves defined over Fp and RNS representation, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01098795
Fault Detection in RNS Montgomery Modular Multiplication, 2013 IEEE 21st Symposium on Computer Arithmetic, pp.119-126, 2013. ,
DOI : 10.1109/ARITH.2013.31
URL : https://hal.archives-ouvertes.fr/hal-01065507
Baba¨?Baba¨? round-off CVP method in RNS: Application to lattice based cryptographic protocols, Proc. 14th International Symposium on Integrated Circuits (ISIC), pp.440-443, 2014. ,
Leak Resistant Arithmetic, Proc. Cryptographic Hardware and Embedded Systems (CHES), pp.62-75, 2004. ,
DOI : 10.1007/978-3-540-28632-5_5
URL : https://hal.archives-ouvertes.fr/lirmm-00108863
Selected RNS Bases for Modular Multiplication, 2009 19th IEEE Symposium on Computer Arithmetic, pp.25-32, 2009. ,
DOI : 10.1109/ARITH.2009.20
URL : https://hal.archives-ouvertes.fr/lirmm-00394985
Double Level Montgomery Cox-Rower Architecture, New Bounds, Proc. 13th Smart Card Research and Advanced Application Conference (CARDIS), 2014. ,
DOI : 10.1007/978-3-319-16763-3_9
URL : https://hal.archives-ouvertes.fr/hal-01098803
RNS modular multiplication through reduced base extensions, 2014 IEEE 25th International Conference on Application-Specific Systems, Architectures and Processors, pp.57-62, 2014. ,
DOI : 10.1109/ASAP.2014.6868631
URL : https://hal.archives-ouvertes.fr/hal-01010961
FPGA Implementation of Pairings Using Residue Number System and Lazy Reduction, Proc. Cryptographic Hardware and Embedded Systems (CHES), pp.421-441, 2011. ,
DOI : 10.1007/978-3-642-23951-9_28
URL : https://hal.archives-ouvertes.fr/hal-00745016
Efficient RNS implementation of elliptic curve point multiplication over GF(p), IEEE Transactions on Very Large Scale Integration (VLSI) Systems, pp.1545-1549, 2013. ,
An Algorithmic and Architectural Study on Montgomery Exponentiation in RNS, IEEE Transactions on Computers, vol.61, issue.8, pp.611071-1083, 2012. ,
DOI : 10.1109/TC.2012.84
URL : https://hal.archives-ouvertes.fr/hal-01098799
The residue number system, IRE Transactions on Electronic Computers, issue.82, pp.140-147, 1959. ,
A high speed coprocessor for elliptic curve scalar multiplications over Fp, Proc. Cryptographic Hardware and Embedded Systems (CHES), pp.48-64, 2010. ,
A coprocessor for secure and high speed modular arithmetic, 2011. ,
The Montgomery Powering Ladder, Proc. 4th International Workshop on Cryptographic Hardware and Embedded Systems (CHES), pp.291-302, 2002. ,
DOI : 10.1007/3-540-36400-5_22
Multiplication of multi-digit numbers on automata. Doklady Akad, Translation in Soviet Physics- Doklady, pp.293-294, 1962. ,
Cox-Rower Architecture for Fast Parallel Montgomery Multiplication, Proc. 19th International Conference on the Theory and Application of Cryptographic (EUROCRYPT), volume 1807 of LNCS, pp.523-538, 2000. ,
DOI : 10.1007/3-540-45539-6_37
Power Analysis Attacks: Revealing the Secrets of Smart Cards, 2007. ,
Modular multiplication without trial division, Mathematics of Computation, vol.44, issue.170, pp.519-521, 1985. ,
DOI : 10.1090/S0025-5718-1985-0777282-X
Implementation of RSA Algorithm Based on RNS Montgomery Multiplication, Proc. Cryptographic Hardware and Embedded Systems (CHES), pp.364-376, 2001. ,
DOI : 10.1007/3-540-44709-1_30
Electromagnetic Analysis on RSA Algorithm Based on RNS, 2013 Euromicro Conference on Digital System Design, pp.345-352, 2013. ,
DOI : 10.1109/DSD.2013.44
URL : https://hal.archives-ouvertes.fr/lirmm-00861215
Highly parallel modular multiplication in the residue number system using sum of residues reduction, Applicable Algebra in Engineering, Communication and Computing, vol.21, issue.2, pp.249-255, 2010. ,
DOI : 10.1007/s00200-010-0124-2
Basiserweiterung mit einer Konvolutionssumme in Restklassenzahlensystemen, Computing, vol.17, issue.2, pp.93-104, 1993. ,
DOI : 10.1007/BF02238608
Modulo reduction in residue number systems, IEEE Transactions on Parallel and Distributed Systems, vol.6, issue.5, pp.449-454, 1995. ,
DOI : 10.1109/71.382314
An RNS barrett modular multiplication architecture, 2014 IEEE International Symposium on Circuits and Systems (ISCAS), pp.2229-2232, 2014. ,
DOI : 10.1109/ISCAS.2014.6865613
Fast base extension using a redundant modulus in RNS, IEEE Transactions on Computers, vol.38, issue.2, pp.292-297, 1989. ,
DOI : 10.1109/12.16508
Operátorové obvody (operator circuits in czech), Stroje na Zpracování Informací (Information Processing Machines), pp.247-296, 1955. ,
Residue arithmetic and its applications to computer technology, 1967. ,
Exploiting the Power of GPUs for Asymmetric Cryptography, Proc. 10th International Workshop on Cryptographic Hardware and Embedded Systems (CHES), pp.79-99, 2008. ,
DOI : 10.1007/978-3-540-85053-3_6
Faster Pairing Coprocessor Architecture, Proc. 5th Pairing-Based Cryptography (Pairing), pp.160-176, 2012. ,
DOI : 10.1007/978-3-642-36334-4_10