By Yacov Yacobi (auth.), Vijay Varadharajan, Yi Mu (eds.)
This publication constitutes the refereed court cases of the sixth Australasian convention on details safety and privateness, ACISP 2001, held in Sydney, Australia, in July 2001.
The 38 revised complete papers awarded including 3 invited contributions have been rigorously reviewed and chosen from a complete of ninety one submissions. one of the subject matters addressed are platforms protection, community safeguard, belief and entry cotrol, authentication, cryptography, cryptanalysis, electronic signatures, elliptic curve cryptology, and mystery sharing and threshold schemes.
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Additional resources for Information Security and Privacy: 6th Australasian Conference, ACISP 2001 Sydney, Australia, July 11–13, 2001 Proceedings
1 Introduction Many cryptographic protocols operate in a subgroup of some larger group, generally placing restrictions on the parameter selection of the larger group. In many cases group operations are performed within a prime order subgroup of a much larger group, whilst in others, operations occur in a group of composite modulus within a larger group. The most obvious primitive protocols that satisfy these characteristics include the Diﬃe-Hellman , Schnorr  and other ElGamal-type protocols.
Let G be a prime order subgroup of Z∗p of order q, where q|p − 1 and p, q prime, and g be a generator of G. Let a ∈ G and γ ∈ Z∗p be of order t < q. Then given an integer x ∈ Zq such that g x = a, it follows that (γg)x ≡ a mod p when t|x. When there are no conditions on the choice of the prime p, p − 1 will likely have many factors less than q. A similar observation can be made regarding composite modulus systems. Note that in the case of composite modulus systems a test for group membership may not be possible if the order of the group is unknown.
AL−1 ) with a0 = 0, there exists an equivalent key K = (a0 , . . , aL−1 ) with a0 = 1. Proof. Consider the sequence (ai )i≥0 generated by the inner state K. Suppose the ﬁrst ’1’ on an even position appears in position 2k. Then clock the register by 2k steps, deriving the new inner state K = (a2k , . . , a2k+L−1 ). Obviously, both inner states yield the same keystream sequence, since in transforming K to K , no output is generated. It is thus safe to assume that a0 = 1 and a1 = z0 . This way, we will reconstruct a key that is not necessarily equal to the original key, but it is equivalent in a sense that it will create the same keystream sequence.