Security and Improvement of Aggregate Signature Scheme for Underwater Wireless Sensor Networks and Certificateless Aggregate Signature Scheme for Vehicular Ad Hoc Networks

Abstract

Due to the limited energy of underwater wireless sensor network (UwWSN) and the need to protect node location privacy, aggregate signature (AGGS) scheme which can batch verification signature is proposed to meet these requirements. Due to moving at high speed and the limited bandwidth of communication in vehicular ad hoc network (VaNET), certificateless aggregate signature (CTLAS) with the private key being generated by the signer itself and PKG (Private Key Generator) is proposed to solve the above problems. Recently, Yang et al. proposes a CTLAS scheme which can be applied into VaNET and Hua proposes an AGGS scheme which can be applied into UwWSN. This paper shows that Yang et al.'s CTLAS scheme and Hua's AGGS scheme both are not secure. In Yang et al.'s CTLAS scheme, an attacker can forge a signature assume that the attacker cannot know the masker key of PKG but the attacker can replace the public key of the signer. In Hua's AGGS scheme, a malicious node can forge a signature for any nodes after the malicious node obtains a temporary key. As an improvement, this paper also proposes an improved method for Yang et al.'s scheme and Hua's scheme respectively.