### Abstract

The design of new elliptic curve cryptosystem is still an interest to community of cryptographers. In this article, we propose a new secure and efficient elliptic curve cryptosystem. The scheme requires a single public and private keys and needs 59T _{MUL}+T _{H} and T _{MUL}+T _{H} for encryption and decryption algorithm respectively. The communication costs is given by 2|n|. The estimated computational speed for the encryption is 49.35% and for the decryption is 97.07%.

Original language | English |
---|---|

Pages (from-to) | 5573-5579 |

Number of pages | 7 |

Journal | Applied Mathematical Sciences |

Volume | 6 |

Issue number | 109-112 |

Publication status | Published - 2012 |

### Fingerprint

### Keywords

- Cryptography
- Cryptosystem
- Elliptic curve cryptosystem
- Elliptic curve discrete logarithm problem

### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematical Sciences*,

*6*(109-112), 5573-5579.

**A new secure and efficient elliptic curve cryptosystem.** / Ismail, Eddie Shahril; Sakib, E.

Research output: Contribution to journal › Article

*Applied Mathematical Sciences*, vol. 6, no. 109-112, pp. 5573-5579.

}

TY - JOUR

T1 - A new secure and efficient elliptic curve cryptosystem

AU - Ismail, Eddie Shahril

AU - Sakib, E.

PY - 2012

Y1 - 2012

N2 - The design of new elliptic curve cryptosystem is still an interest to community of cryptographers. In this article, we propose a new secure and efficient elliptic curve cryptosystem. The scheme requires a single public and private keys and needs 59T MUL+T H and T MUL+T H for encryption and decryption algorithm respectively. The communication costs is given by 2|n|. The estimated computational speed for the encryption is 49.35% and for the decryption is 97.07%.

AB - The design of new elliptic curve cryptosystem is still an interest to community of cryptographers. In this article, we propose a new secure and efficient elliptic curve cryptosystem. The scheme requires a single public and private keys and needs 59T MUL+T H and T MUL+T H for encryption and decryption algorithm respectively. The communication costs is given by 2|n|. The estimated computational speed for the encryption is 49.35% and for the decryption is 97.07%.

KW - Cryptography

KW - Cryptosystem

KW - Elliptic curve cryptosystem

KW - Elliptic curve discrete logarithm problem

UR - http://www.scopus.com/inward/record.url?scp=84867308906&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867308906&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84867308906

VL - 6

SP - 5573

EP - 5579

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 109-112

ER -