Finite field for scientists and engineers
Finite field for scientists and engineers
A course in number theory and cryptography
A course in number theory and cryptography
The State of Elliptic Curve Cryptography
Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography
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
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
Handbook of Applied Cryptography
Handbook of Applied Cryptography
Elliptic Curve Public Key Cryptosystems
Elliptic Curve Public Key Cryptosystems
Use of Elliptic Curves in Cryptography
CRYPTO '85 Advances in Cryptology
CM-Curves with Good Cryptographic Properties
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
An Improved Algorithm for Arithmetic on a Family of Elliptic Curves
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
Selecting Cryptographic Key Sizes
PKC '00 Proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
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The use of Java in developing commercial Internet applications is growing very rapidly. A major requirement for e-commerce applications is the provision of security. In this work we consider Elliptic Curve Cryptography (ECC) because of the high level of security it provides with small key sizes. ECC is ideal for use on constrained environments such as pagers, personal digital assistants, cellular phones and smart cards. We implement the ECC algorithms approved by the National Institute of Standards and Technology (NIST) in Java on the Dell Inspiron 7500. The speeds of the various ECC algorithms are provided.