Data networks
Journal of Cryptology
A family of Jacobians suitable for discrete log cryptosystems
CRYPTO '88 Proceedings on Advances in cryptology
Algebraic aspects of cryptography
Algebraic aspects of cryptography
Elliptic curves in cryptography
Elliptic curves in cryptography
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Speeding up the Arithmetic on Koblitz Curves of Genus Two
SAC '00 Proceedings of the 7th Annual International Workshop on Selected Areas in 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
Software Implementation of Elliptic Curve Cryptography over Binary Fields
CHES '00 Proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Elliptic and hyperelliptic curves on embedded μP
ACM Transactions on Embedded Computing Systems (TECS)
IEEE Transactions on Computers
HW/SW co-design of a hyperelliptic curve cryptosystem using a microcode instruction set coprocessor
Integration, the VLSI Journal - Special issue: Embedded cryptographic hardware
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)
Superscalar coprocessor for high-speed curve-based cryptography
CHES'06 Proceedings of the 8th international conference on Cryptographic Hardware and Embedded Systems
Efficient doubling on genus 3 curves over binary fields
CT-RSA'06 Proceedings of the 2006 The Cryptographers' Track at the RSA conference on Topics in Cryptology
Hyperelliptic curve coprocessors on a FPGA
WISA'04 Proceedings of the 5th international conference on Information Security Applications
Hardware/software co-design for hyperelliptic curve cryptography (HECC) on the 8051 µP
CHES'05 Proceedings of the 7th international conference on Cryptographic hardware and embedded systems
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Hyperelliptic curve cryptography with genus larger than one has not been seriously considered for cryptographic purposes because many existing implementations are significantly slower than elliptic curve versions with the same level of security. In this paper, the first ever complete hardware implementation of a hyperelliptic curve coprocessor is described. This coprocessor is designed for genus two curves over F2113. Additionally, a modification to the Extended Euclidean Algorithm is presented for the GCD calculation required by Cantor's algorithm. On average, this new method computes the GCD in one-fourth the time required by the Extended Euclidean Algorithm.