Download e-book for kindle: Information Security and Privacy: 4th Australasian by William Millan, Andrew Clark, Ed Dawson (auth.), Josef

By William Millan, Andrew Clark, Ed Dawson (auth.), Josef Pieprzyk, Rei Safavi-Naini, Jennifer Seberry (eds.)

ISBN-10: 3540489703

ISBN-13: 9783540489702

ISBN-10: 3540657568

ISBN-13: 9783540657569

This publication constitutes the refereed complaints of the 4th Australasian convention on info safeguard and privateness, ACISP'99, held in Wollongong, NSW, Australia in April 1999.
The 26 revised complete papers offered have been conscientiously reviewed and chosen from a complete of fifty three submissions. The booklet is split in topical sections on Boolean services, key administration, cryptanalysis, signatures, RSA cryptosystems, crew cryptography, community defense, digital trade, deal with regulate, and odds and ends.

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Additional info for Information Security and Privacy: 4th Australasian Conference, ACISP’99 Wollongong, NSW, Australia, April 7–9, 1999 Proceedings

Sample text

For each boolean function f (x), there exists a minimum subset, denoted by PG(f ), of Sn such that {πf | π ∈ PG(f )} = {πf | π ∈ Sn }. Lemma 1. Let π be an element of the permutation group Sn , and πf (x) = g(x). Then 1. all the functions, πf (x) (π ∈ Sn ), have the same cryptographic properties such as Hamming weight, nonlinearity and SAC 1 ; 2. the set {πf (x) | π ∈ Sn } forms a group if ef (x) = f (x) (e the unit of Sn ) is the unite of the set and the group operation “◦” is defined as follows [πi f (x)] ◦ [πj f (x)] = (πi πj )f (x) = πk f (x), (6) where ◦ stands for composition of functions or permutations and all πi , πj , πk ∈ PG(f ).

For n ≥ 4, n−2 2 | An | > | An−1 | +2(22 −| An−2 |)− Lemma 10. For n ≥ 4 2n−3 −1 r=1 2 Cn−2 (2r) Nn−2 (2r) ≥ Corollary 1. 2n−3 −1 r=1 2n−2 2n−3 2n−3 −1 r=1 2n−3 −1 r=1 +4 2n−3 r 2 Cn−2 (2r) Nn−2 (2r) > 2 ( 2n−2 2r 2 Cn−2 (2r) Nn−2 (2r). − 2n−3 r ). n−1 22 3n 2 2 −3 The closed form lower bound in Lemma 10 and Corollary 1 (though a very conservative estimate) clearly indicates that the lower bound of Theorem 4 is a 2 significant improvement over the bound | An−1 | obtained in [9]. 4 Upper Bound The upper bound on | An | was provided in [14] and it was later improved to | An | ≤ Kn = 2 n−3 2n−2 j=0 2n−2 j 4 in [9].

The maximum nonlinearities are 52 on V7 (maximum for all boolean functions is 56) and 112 on V8 (for bent function, it is 128). (A) A 14-term 3-homogeneous boolean function (3) f (x) = P6 ⊕ 126 ⊕ 136 ⊕ 145 ⊕ 234 ⊕ 235 ⊕ 456 (20) is balanced and its complement fc (x) can be characterised by its combinatorial parameters, {ν, κ, β, r1 , r2 , r3 , r4 , r5 , r6 } = {6, 3, 6, 3, 3, 3, 3, 3, 3} (21) which is also a BIBD(v, b, k, λ1 , λ2 ) = BIBD(6, 6, 3, 2, 1). Under the permutation operations {(16), (23), (45)}, the function f does not change.

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Information Security and Privacy: 4th Australasian Conference, ACISP’99 Wollongong, NSW, Australia, April 7–9, 1999 Proceedings by William Millan, Andrew Clark, Ed Dawson (auth.), Josef Pieprzyk, Rei Safavi-Naini, Jennifer Seberry (eds.)


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