Efficient Arithmetic on Koblitz Curves
Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography
Elliptic curves in cryptography
Elliptic curves in cryptography
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Faster Attacks on Elliptic Curve Cryptosystems
SAC '98 Proceedings of the Selected Areas in Cryptography
Improved Algorithms for Elliptic Curve Arithmetic in GF(2n)
SAC '98 Proceedings of the Selected Areas in Cryptography
CM-Curves with Good Cryptographic Properties
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Speeding up Elliptic Cryptosystems by Using a Signed Binary Window Method
CRYPTO '92 Proceedings of the 12th Annual International Cryptology Conference on Advances in Cryptology
More Flexible Exponentiation with Precomputation
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Experimenting with Electronic Commerce on the PalmPilot
FC '99 Proceedings of the Third International Conference on Financial Cryptography
Fast Multiplication on Elliptic Curves over GF(2m) without Precomputation
CHES '99 Proceedings of the First 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
Fast Key Exchange with Elliptic Curve Systems
CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology
From Euclid's GCD to Montgomery Multiplication to the Great Divide
From Euclid's GCD to Montgomery Multiplication to the Great Divide
PGP in constrained wireless devices
SSYM'00 Proceedings of the 9th conference on USENIX Security Symposium - Volume 9
A New Addition Formula for Elliptic Curves over GF(2^n)
IEEE Transactions on Computers
Proceedings of the conference on Design, Automation and Test in Europe - Volume 3
A Capability-Based Privacy-Preserving Scheme for Pervasive Computing Environments
PERCOMW '05 Proceedings of the Third IEEE International Conference on Pervasive Computing and Communications Workshops
Unleashing public-key cryptography in wireless sensor networks
Journal of Computer Security - On IWAP'05
Implementing public-key infrastructure for sensor networks
ACM Transactions on Sensor Networks (TOSN)
Generic GF(2m) arithmetic in software and its application to ECC
ACISP'03 Proceedings of the 8th Australasian conference on Information security and privacy
ICN'05 Proceedings of the 4th international conference on Networking - Volume Part II
Public key cryptography in sensor networks—revisited
ESAS'04 Proceedings of the First European conference on Security in Ad-hoc and Sensor Networks
Charging support for ad hoc stub networks
Computer Communications
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The market for Personal Digital Assistants (PDA) is growing rapidly and PDAs are becoming increasingly interesting for commercial transactions. One requirement for further growing of eCommerce with mobile devices is the provision of security.We implemented elliptic curves over binary fields on a Palm OS device. We chose the NIST recommended random and Koblitz curves over GF(2163) that are providing a sufficient level of security for most commercial applications. Using Koblitz curves a typical security protocol like Diffie-Hellman key exchange or ECDSA signature verification requires less than 2.4 seconds, while ECDSA signature generation can be done in less than 0.9 seconds. This should be tolerated by most users.