elliptic curve cryptography

A public key cryptography method that provides fast decryption and digital signature processing. Elliptic curve cryptography (ECC) uses points on an elliptic curve to derive a 163-bit public key that is equivalent in strength to a 1024-bit RSA key. The public key is created by agreeing on a standard generator point in an elliptic curve group (elliptic curve mathematics is a branch of number theory) and multiplying that point by a random number (the private key). Although the starting point and public key are known, it is extremely difficult to backtrack and derive the private key.

Once the public key is computed by ECC, it can be used in various ways to encrypt and decrypt. One way is to encrypt with the public key and decrypt with the private one. Another is to use the Diffie-Hellman method which uses a key exchange to create a shared secret key by both parties. Finally, ECC allows a digital signature to be signed with a private key and verified with the public key. For an in-depth look, search for "elliptic curve cryptography" on Certicom's website at www.certicom.com. See Diffie-Hellman and ECDSA.

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References in periodicals archive

Oliveira, Michael Scott, Martin Collier, and Ricardo Dahab, "NanoECC: Testing the Limits of Elliptic Curve Cryptography in Sensor Networks," in Proc.

Pairing Free Certificate Based Signcryption Schemes Using ECQV Implicit Certificates

This modification was the results of applying the modified algorithm that uses the Elliptic Curve Cryptography with Diffie-Helman methods.

Proposed Simulator Based on Developed Lightweight Authentication and Key Management Protocol for Wireless Sensor Network

"Research Issues on Elliptic Curve Cryptography and Its applications", International Journal of Computer Science and Network Security, 9(6): 19-22.

Detection of security threats and vulnerabilities of e-learning systems in cloud computing

TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks, 2011.

Anomalous Behaviour of Cryptographic Elliptic Curves over Finite Field

Ning, "TinyECC: a configurable library for elliptic curve cryptography in wireless sensor networks," in Proceedings of the 7th International Conference on Information Processing in Sensor Networks (IPSN '08), pp.

An Advanced Encryption Standard Powered Mutual Authentication Protocol Based on Elliptic Curve Cryptography for RFID, Proven on WISP

An efficient three-party authenticated key exchange protocol using elliptic curve cryptography for mobile-commerce environments.

Security analysis and enhancements of a three-party authenticated key agreement protocol/Analise de seguranca e realce de um protocolo de consenso de chave autenticada por um conjunto de tres pessoas

He, (2011) "Comments on A Password Authentication and Update Scheme Based on Elliptic Curve Cryptography," Cryptology EPrint Archive Report 2011/411.

On Security Analysis of Recent Password Authentication and Key Agreement Schemes Based on Elliptic Curve Cryptography

(1.) Sullivan, N., "A (relatively easy to understand) primer on elliptic curve cryptography," ars technica, October 2013.

The importance of trapdoor functions

The elliptic curve cryptography processor server farm accomplished the consecutive jobs in the order the data were received.

System level design of reconfigurable server farms using elliptic curve cryptography processor engines

[2] proposed the Elliptic Curve Cryptography. In this method encoding and decoding a text in the implementation of Elliptic Curve Cryptography is a public key cryptography using Koblitz's method [7, 8].

Secure network communication based on text-to-image encryption

Elliptic curve cryptography is an alternative building block for cryptograpic scheme similar to the conventional RSA, but it is widely believed to be much more secure when implemented using the same key size.

Optimal elliptic curve scalar multiplication using double-base chains