Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
Elliptic curve cryptography on smart cards without coprocessors
Proceedings of the fourth working conference on smart card research and advanced applications on Smart card research and advanced applications
Handbook of Applied Cryptography
Handbook of Applied Cryptography
A Family of Jacobians Suitable for Discrete Log Cryptosystems
CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
Software Implementation of Elliptic Curve Cryptography over Binary Fields
CHES '00 Proceedings of the Second 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
Finding Optimum Parallel Coprocessor Design for Genus 2 Hyperelliptic Curve Cryptosystems
ITCC '04 Proceedings of the International Conference on Information Technology: Coding and Computing (ITCC'04) Volume 2 - Volume 2
High Performance Arithmetic for special Hyperelliptic Curve Cryptosystems of Genus Two
ITCC '04 Proceedings of the International Conference on Information Technology: Coding and Computing (ITCC'04) Volume 2 - Volume 2
Elliptic and hyperelliptic curves on embedded μP
ACM Transactions on Embedded Computing Systems (TECS)
An algorithm for solving the discrete log problem on hyperelliptic curves
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Hyperelliptic curve coprocessors on a FPGA
WISA'04 Proceedings of the 5th international conference on Information Security Applications
On efficient implementation of FPGA-based hyperelliptic curve cryptosystems
Computers and Electrical Engineering
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
ARCS'08 Proceedings of the 21st international conference on Architecture of computing 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
A security scheme for dependable key insertion in mobile embedded devices
International Journal of Reconfigurable Computing - Special issue on selected papers from the international workshop on reconfigurable communication-centric systems on chips (ReCoSoC' 2010)
Hardware/software co-design of elliptic curve cryptography on an 8051 microcontroller
CHES'06 Proceedings of the 8th international conference on Cryptographic Hardware and Embedded Systems
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Implementing public-key cryptography on platforms with limited resources, such as microprocessors, is a challenging task. Hardware/software co-design is often the only answer to implement the computationally intensive operations with limited memory and power at an acceptable speed. This contribution describes such a solution for Hyperelliptic Curve Cryptography (HECC). The proposed hardware/software co-design of the HECC system was implemented and co-simulated using the GEZEL design environment [3]. As a low-cost platform, we chose an 8-bit 8051 microprocessor to which one small hardware co-processor was added for field multiplication. We show that the Jacobian scalar multiplication can be computed in 2.488 sec at 12 MHz on this platform if a minimal hardware module is added i.e. a hardware multiply-add unit. This optimal solution provides a factor of 26 speed-up over a software-only solution.