Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
A fast algorithm for computing multiplicative inverses in GF(2m) using normal bases
Information and Computation
Implementing elliptic curve cryptography
Implementing elliptic curve cryptography
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Reconfigurable Implementation of Elliptic Curve Crypto Algorithms
IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
Fully Parameterizable Elliptic Curve Cryptography Processor over GF(2)
FPL '02 Proceedings of the Reconfigurable Computing Is Going Mainstream, 12th International Conference on Field-Programmable Logic and Applications
Exceptional Procedure Attackon Elliptic Curve Cryptosystems
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
A High Performance Reconfigurable Elliptic Curve Processor for GF(2m)
CHES '00 Proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems
An End-to-End Systems Approach to Elliptic Curve Cryptography
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Guide to Elliptic Curve Cryptography
Guide to Elliptic Curve Cryptography
High Performance FPGA based Elliptic Curve Cryptographic Co-Processor
ITCC '04 Proceedings of the International Conference on Information Technology: Coding and Computing (ITCC'04) Volume 2 - Volume 2
A Parallel Architecture for Computing Scalar Multiplication on Hessian Elliptic Curves
ITCC '04 Proceedings of the International Conference on Information Technology: Coding and Computing (ITCC'04) Volume 2 - Volume 2
An FPGA implementation of an elliptic curve processor GF(2m)
Proceedings of the 14th ACM Great Lakes symposium on VLSI
Fast elliptic curve cryptography on FPGA
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
An Introduction to Mathematical Cryptography
An Introduction to Mathematical Cryptography
High Speed Compact Elliptic Curve Cryptoprocessor for FPGA Platforms
INDOCRYPT '08 Proceedings of the 9th International Conference on Cryptology in India: Progress in Cryptology
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem
ARC '09 Proceedings of the 5th International Workshop on Reconfigurable Computing: Architectures, Tools and Applications
FPGA implementation of binary edwards curve usingternary representation
Proceedings of the 21st edition of the great lakes symposium on Great lakes symposium on VLSI
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Elliptic curve cryptography (ECC) is in prime focus in the domain of public-key cryptography (PKC) due to its advantage over RSA with smaller bit requirement. Still, this curve has some major issues in terms of unifiedness and completeness. In 2007, Edwards curve has proved to be the answer to such deficiencies with its unified addition law. This curve has been recently extended to Binary Edwards Curves (BEC), due to efficiency of implementation in GF(2^m) fields and to harvest the advantages of a unified and complete scalar point multiplication on the family of BEC. In spite of achieving the unification, it introduces more challenges to the designer to reduce the computation time and trade-off the area in efficient way. A noble architecture of a BEC processor is proposed in this work in GF(2^2^3^3). We further analyze the work in terms of simple power analysis. Through experimentations, we show that the naive implementation can reveal some important information about the secret key. Finally, we conclude the work with suitable modifications to prevent such side-channel attacks.