Batch verification for equality of discrete logarithms and threshold decryptions

Abstract

A general technique of batch verification for equality of discrete logarithms is proposed. Examples of batching threshold decryption schemes are presented based on threshold versions of ElGamal and RSA cryptosystems. Our technique offers large computational savings when employed in schemes with a large number of ciphertexts to be decrypted, such as in e-voting or e-auction schemes using threshold decryption. The resulting effect is beneficial for producing more efficient schemes. © Springer-Verlag Berlin Heidelberg 2004.