Batch verification of Digital Signatures: Approaches and challenges

Abstract

Digital Signatures can be considered analogous to an ordinary handwritten signature for signing messages in the Digital world. Digital signature must be unique and exclusive for each signer. Multiple Digital Signatures signed by either single or multiple signers can be verified at once through Batch Verification. There are two main issues with respect to Batch Verification of Digital Signatures; first is the security problem and the second is the computational speed. Due to e-commerce proliferation, quick verification of Digital Signatures through specific hardware or efficient software becomes critical. Internet companies, banks, and other such organizations use Batch verification to accelerate verification of large number of Digital Signatures. Many Batch Verification techniques have been proposed for various Digital Signature algorithms. But most of them lack the security requirements such as signature authenticity, integrity, and non-repudiation. Hence there is a need for the study of batch verification of Digital Signatures. The main contributions of our survey include: (a) Identifying and categorizing various Batch verification techniques for RSA, DSS, and ECDSA(includes schemes based on Bilinear Pairing) (b) Providing a comparative analysis of these Batch Verification techniques (c) Identifying various research challenges in the area of Batch verification of signatures.