On the Alternate Models of Elliptic Curves

Muhammad Ashraf; Baris Kirlar

Article Details

On the Alternate Models of Elliptic Curves

Authors:

Muhammad Ashraf | Baris Kirlar

Publisher:

Şeref SAĞIROĞLU

Main Topics:

Mathematics

Journal:

International Journal of Information Security Science 2012 Vol.1 Issue 2, pp.49-66

Document Type:

Article

Publication Date:

7/2012

Document Language:

English

Document ID (Org No.):

2000719321

Frequency:

Quarterly

eISSN:

2147-0030

Abstract:

 

In the recent years, alternate models of elliptic curves have been studied. Such well-known models are Edwards curves, Jacobi intersections and Jacobi quartics, Hessian curves, Huff curves, and their variants to the more common Weierstrass curve. These models sometimes allow for more efficient computation on elliptic curves or provide other features of interest to cryptographers, such as resistance to side-channel attacks. In this paper, we first give the alternate models of elliptic curves emphasizing point addition and point doubling formulae with computational costs, the suggested improvements in each model and then countermeasures to side channel attacks if any. We also describe the geometric interpretation of the addition law in each model.

Article Details

On the Alternate Models of Elliptic Curves

Authors: Muhammad Ashraf | Baris Kirlar

Publisher: Şeref SAĞIROĞLU

Main Topics: Mathematics

Journal: International Journal of Information Security Science 2012 Vol.1 Issue 2, pp.49-66

Document Type: Article

Publication Date: 7/2012

Document Language: English

Document ID (Org No.): 2000719321

Frequency: Quarterly

eISSN: 2147-0030

Issues

Authors:

Muhammad Ashraf | Baris Kirlar

Publisher:

Şeref SAĞIROĞLU

Main Topics:

Mathematics

Journal:

International Journal of Information Security Science 2012 Vol.1 Issue 2, pp.49-66

Document Type:

Article

Publication Date:

7/2012

Document Language:

English

Document ID (Org No.):

2000719321

Frequency:

Quarterly

eISSN:

2147-0030