Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
A fast elliptic curve cryptosystem
EUROCRYPT '89 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
Algebraic aspects of cryptography
Algebraic aspects of cryptography
Elliptic curves in cryptography
Elliptic curves in cryptography
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
A Fast Parallel Elliptic Curve Multiplication Resistant against Side Channel Attacks
PKC '02 Proceedings of the 5th International Workshop on Practice and Theory in Public Key Cryptosystems: 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
The Hessian Form of an Elliptic Curve
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
The Montgomery Powering Ladder
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Genus Two Hyperelliptic Curve Coprocessor
CHES '02 Revised Papers from the 4th 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
Efficient doubling on genus two curves over binary fields
SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
IEEE Transactions on Computers
High-performance public-key cryptoprocessor for wireless mobile applications
Mobile Networks and Applications
Fast point multiplication on Koblitz curves: Parallelization method and implementations
Microprocessors & Microsystems
Optimizing the Control Hierarchy of an ECC Coprocessor Design on an FPGA Based SoC Platform
ARC '09 Proceedings of the 5th International Workshop on Reconfigurable Computing: Architectures, Tools and Applications
Programmable and Parallel ECC Coprocessor Architecture: Tradeoffs between Area, Speed and Security
CHES '09 Proceedings of the 11th International Workshop on Cryptographic Hardware and Embedded Systems
Optimized System-on-Chip Integration of a Programmable ECC Coprocessor
ACM Transactions on Reconfigurable Technology and Systems (TRETS)
Optimizing the HW/SW boundary of an ECC SoC design using control hierarchy and distributed storage
Proceedings of the Conference on Design, Automation and Test in Europe
Combination of SW countermeasure and CPU modification on FPGA against power analysis
WISA'10 Proceedings of the 11th international conference on Information security applications
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We propose a superscalar coprocessor for high-speed curve-based cryptography. It accelerates scalar multiplication by exploiting instruction-level parallelism (ILP) dynamically and processing multiple instructions in parallel. The system-level architecture is designed so that the coprocessor can fully utilize the superscalar feature. The implementation results show that scalar multiplication of Elliptic Curve Cryptography (ECC) over GF(2163), Hyperelliptic Curve Cryptography (HECC) of genus 2 over GF(283) and ECC over a composite field, GF((283)2) can be improved by a factor of 1.8, 2.7 and 2.5 respectively compared to the case of a basic single-scalar architecture. This speed-up is achieved by exploiting parallelism in curve-based cryptography. The coprocessor deals with a single instruction that can be used for all field operations such as multiplications and additions. In addition, this instruction only allows one to compute point/divisor operations. Furthermore, we provide also a fair comparison between the three curve-based cryptosystems.