Paper 2019/1498

Supersingular Isogeny-Based Designated Verifier Blind Signature

Rajeev Anand Sahu and Agnese Gini and Ankan Pal

Abstract

Recently, Srinath and Chandrasekaran have proposed an undeniable blind signature scheme (UBSS) from supersingular isogeny to provide signer’s control in a quantum-resistant blind signature. However, certain weaknesses of undeniable signature have already been observed and have been overcome by formalizing the designated verifier signature (DVS). In this paper, we explore the possibility of generic construction of a DVS from hard homogeneous spaces. Further, following this motivation, we realize a quantum-resistant designated verifier blind signature (DVBS) scheme based on supersingular isogenies from the proposed generic construction. In contrast to the UBSS, our construction do not require interactive communication between the signer and the verifier, yet engages the signer in the verification. The compact signature adds more security properties in a quantum-resistant blind signature to be useful in specific applications including electronic tendering, online auctions etc.