2012International Journal of Distributed and Parallel systemsOpen access

Encryption Of Data Using Elliptic Curve Over Finite Fields

Dhanesh Kumar

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Abstract

Cryptography is the study of techniques for ensuring the secrecy and authentication of the information.Public -key encryption schemes are secure only if the authenticity of the public-key is assured.Elliptic curve arithmetic can be used to develop a variety of elliptic curve cryptographic (ECC) schemes including key exchange, encryption and digital signature.The principal attraction of elliptic curve cryptography compared to RSA is that it offers equal security for a smaller key-size, thereby reducing the processing overhead.In the present paper we propose a new encryption algorithm using Elliptic Curve over finite fields.

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Cryptography is the study of techniques for ensuring the secrecy and authentication of the information.Public -key encryption schemes are secure only if the authenticity of the public-key is assured.Elliptic curve arithmetic can be used to develop a variety of elliptic curve cryptographic (ECC) schemes including key exchange, encryption and digital signature.The principal attraction of elliptic curve cryptography compared to RSA is that it offers equal security for a smaller key-size, thereby reducing the processing overhead.In the present paper we propose a new encryption algorithm using Elliptic Curve over finite fields.

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Available abstract

Cryptography is the study of techniques for ensuring the secrecy and authentication of the information.Public -key encryption schemes are secure only if the authenticity of the public-key is assured.Elliptic curve arithmetic can be used to develop a variety of elliptic curve cryptographic (ECC) schemes including key exchange, encryption and digital signature.The principal attraction of elliptic curve cryptography compared to RSA is that it offers equal security for a smaller key-size, thereby reducing the processing overhead.In the present paper we propose a new encryption algorithm using Elliptic Curve over finite fields.

Key concepts: Elliptic curve cryptography, Computer science, Encryption, Elliptic Curve Digital Signature Algorithm, Key size, Curve25519, Public-key cryptography, Digital signature

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