A novel approach for Menezes-Vanstone elliptic curve cryptosystem

Cryptographic algorithms are widely used to safeguard data and information over the internet. One of the most efficient technique used for this purpose is the Elliptic Curve Cryptosystem (ECC) which recently gained a lot of interest due to its high performance. It is based upon the hardness of Elliptic Curve Discrete Logarithmic Problem (ECDLP) and till date there is no efficient algorithm that can solve the problem in polynomial time. In this paper an innovative algorithm for ``Menezes-Vanstone Elliptic curve cryptosystem (MVECC)’’ have been proposed to make it more efficient. In comparison to the original algorithm, the proposed algorithm has no inverse operation making it faster and less computationally complex.

Authors

Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2025-01-01
DOI
https://doi.org/10.47974/jdmsc-2257
Primary Topic
Cryptography and Residue Arithmetic
Type
article
Field-Weighted Citation Impact
0.00
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article

A novel approach for Menezes-Vanstone elliptic curve cryptosystem

Pankaj Kakati, Nayan Jyoti Bordoloi
Journal of Discrete Mathematical Sciences and Cryptography
Cryptography and Residue Arithmetic
article

A novel approach for Menezes-Vanstone elliptic curve cryptosystem

Pankaj Kakati, Nayan Jyoti Bordoloi
article en

Abstract

Cryptographic algorithms are widely used to safeguard data and information over the internet. One of the most efficient technique used for this purpose is the Elliptic Curve Cryptosystem (ECC) which recently gained a lot of interest due to its high performance. It is based upon the hardness of Elliptic Curve Discrete Logarithmic Problem (ECDLP) and till date there is no efficient algorithm that can solve the problem in polynomial time. In this paper an innovative algorithm for ``Menezes-Vanstone Elliptic curve cryptosystem (MVECC)’’ have been proposed to make it more efficient. In comparison to the original algorithm, the proposed algorithm has no inverse operation making it faster and less computationally complex.

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(3)
Openalex Percentile: Top 90%
Cryptography and Residue Arithmetic
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