Metrics on the Sets of Nonsupersingular Elliptic Curves in Simplified Weierstrass Form over Finite Fields of Characteristic Two
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-28
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Elliptic curves have a wide variety of applications in computational number theory such as elliptic curve cryptography, pairing based cryptography, primality tests, and integer factorization.
Mishra and Gupta (2008) have found an interesting property of the sets of elliptic curves in simplified Weierstrass form (or short Weierstrass form) over prime fields.
The property is that one can induce metrics on the sets of elliptic curves in simplified Weierstrass form over prime fields of characteristic greater than three.
Later, Vetro (2011) has found some other metrics on the sets of elliptic curves in simplified Weierstrass form over prime fields of characteristic greater than three.
However, to our knowledge, no analogous result is known in the characteristic two case.
In this paper, we will prove that one can induce metrics on the sets of nonsupersingular elliptic curves in simplified Weierstrass form over finite fields of characteristic two.
American Psychological Association (APA)
Hakuta, Keisuke. 2015. Metrics on the Sets of Nonsupersingular Elliptic Curves in Simplified Weierstrass Form over Finite Fields of Characteristic Two. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1066208
Modern Language Association (MLA)
Hakuta, Keisuke. Metrics on the Sets of Nonsupersingular Elliptic Curves in Simplified Weierstrass Form over Finite Fields of Characteristic Two. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1066208
American Medical Association (AMA)
Hakuta, Keisuke. Metrics on the Sets of Nonsupersingular Elliptic Curves in Simplified Weierstrass Form over Finite Fields of Characteristic Two. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1066208
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066208