N. Biranvand
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
N. Biranvand has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Mohsen Alinezhad
Department of Pure Mathematics, Faculty of Mathematical Sciences and Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, Iran
1 shared publication - S. Hassan Zadeh
Department of Mathematics, Imam Ali Officers’ University, P.O. Box 1317893471, Tehran, Iran
1 shared publication
Latest Publications
- 9 June 2020
- Published by Taru Publications in Journal of Discrete Mathematical Sciences and Cryptography
- Vol. 25 (5) , 1289-1301
Digital signature with elliptic curves over the finite fields
Let x 3 + ax + b be an irreducible cubic polynomial over 𝔽p. Then by using transformations x → x + j and x → j –1 x, where j ∈ F* p , we can generate new irreducible cubic polynomials. In this paper, we use the elliptic curve equation y 2 = x 3 + ax + b and some transformations to generate an irreducible cubic polynomial, say Q. We generate the public and private keys in the elliptic curve digital signature algorithm (ECDSA), by defining the isomorphism between .Finally, we discuss the security of keys and the validity of signature.
- 9 June 2020
- Published by Taru Publications in Journal of Discrete Mathematical Sciences and Cryptography
- Vol. 25 (5) , 1289-1301
Digital signature with elliptic curves over the finite fields
Let x 3 + ax + b be an irreducible cubic polynomial over 𝔽p. Then by using transformations x → x + j and x → j –1 x, where j ∈ F* p , we can generate new irreducible cubic polynomials. In this paper, we use the elliptic curve equation y 2 = x 3 + ax + b and some transformations to generate an irreducible cubic polynomial, say Q. We generate the public and private keys in the elliptic curve digital signature algorithm (ECDSA), by defining the isomorphism between .Finally, we discuss the security of keys and the validity of signature.