A THRESHOLD SIGNATURE SCHEME ON ELLIPTIC CURVE IN EDWARDS FORM

Abstract

Nowadays, digital signature methods play a crucial role in ensuring information security in computer networks by offering services such as authentication, integrity, and non-repudiation. In addition to typical digital signature standards such as RSA, ECDSA, or EdDSA, cryptographers also develop and introduce a number of special signature schemes for practical applications, such as threshold signature schemes, blind signature schemes, etc. The threshold signature scheme, in particular, is a group-oriented digital signature scheme that has been implemented in industries including blockchain technology and e-commerce and is currently garnering considerable attention. The objective of this paper is to propose a threshold signature scheme that offers both strong security and efficient computational cost when implemented on Elliptic curves in Edwards form. We analyze the security of the proposed scheme against known attacks, comparing the security and computational cost with other existing schemes in recent years. The result of the article is a threshold digital signature scheme with good potential for practical application in e-commerce systems and Blockchain technology.