The ephemeral keys are recovered by solving DLP using the new algorithms proposed in the present study. Also, the key recovery attack proposed on Chang and Chang novel three party simple key exchange protocol is mounted by recovering the ephemeral keys. Our algorithms are empirically tested on several hundred problems with sizes ranging from 100 - 1024 bits and the average running times show the performance of the newly developed attacks. We show that for careful selection of factor bases, patterns form in the distribution of such generalized smooth numbers which may be exploited in the attacks. The main idea is to generalize the concept of a smooth number and extend it over factor bases and multiplicative groups Z*p. In other words, the attacks proposed in this paper are analogous to the attacks for factoring large numbers when the factors lie near the square-root. γkq with γs being small prime factors and q a large prime factor, and the exponent is chosen in the middle of the group (or a prime-order subgroup), we show that it is vulnerable. If a cryptosystem is based on a prime p such that p - 1 is either 2q with q a prime or 2p where p = γ1 γ2. These instances are generally considered hard in literature. In this paper, new algorithms to solve certain special instances of the Discrete Logarithm Problem (DLP) is presented.
#Songkong dong verification#
And Batch verification time in our scheme is more 0.6ms than that of Lee et al.s scheme, however, Lee et al.s is insecure. By comparing with Lee et al.sscheme and Zhang et al.s scheme in terms of verifying delay, our scheme is more efficient than Zhang et al.s scheme. And the security proof and performance analysis are presented. Finally, to overcome the above flaws, an improved authentication scheme is proposed. Unfortunately, their scheme is shown to be insecure and cannot achieve replay attacking, tracing and non-repudiation of message. proposed an improved authentication scheme with batch verification based on bilinear pairing to make VANET more secure, efficient, and more suitable for practical use. To identify invalid messages and reduce verifying delay, a lot of schemes have been proposed to verify the information of VANET by batch verification technique. And VANET requires short verifying delay to response messages.
The authentication of these information is particularly important in VANET since the wrong traffic information may result in traffic accident and traffic jam. Vehicular communication networking can provide well-suited traffic messages, emergency warning messages and infotainment dissemination, and improve driving condition for drivers.
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