By Claude Carlet (auth.), Udaya Parampalli, Philip Hawkes (eds.)

ISBN-10: 3642224962

ISBN-13: 9783642224966

This booklet constitutes the refereed lawsuits of the sixteenth Australasian convention on details defense and privateness, ACISP 2011, held in Melbourne, Australia, in July 2011.
The 24 revised complete papers provided including an invited speak and nine poster papers have been conscientiously reviewed and chosen from 103 submissions. The papers are equipped in topical sections on symmetric key cryptography, hash services, cryptographic protocols, entry regulate and defense, and public key cryptography.

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Extra resources for Information Security and Privacy: 16th Australasian Conference, ACISP 2011, Melbourne, Australia, July 11-13, 2011. Proceedings

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IEEE Transactions on Information Theory 54(8), 3656–3662 (2008) 20. : Algebraic attacks and decomposition of boolean functions. L. ) EUROCRYPT 2004. LNCS, vol. 3027, pp. 474–491. Springer, Heidelberg (2004) 21. : Probabilistic versus deterministic algebraic cryptanalysis – a performance comparison. IEEE Transactions on Information Theory 55(11), 5233–5240 (2009) 22. : Study of Probabilistic Scenarios of Algebraic Attacks on Stream Ciphers. org/2007/448 23. org/2005/449 24. : Algebraic Immunity Hierarchy of Boolean Functions.

The theory of error correcting codes. NorthHolland, New York (1977) 19. : Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity. IEEE Transactions on Information Theory 54(8), 3656–3662 (2008) 20. : Algebraic attacks and decomposition of boolean functions. L. ) EUROCRYPT 2004. LNCS, vol. 3027, pp. 474–491. Springer, Heidelberg (2004) 21. : Probabilistic versus deterministic algebraic cryptanalysis – a performance comparison. IEEE Transactions on Information Theory 55(11), 5233–5240 (2009) 22.

Corollary 10. Let f ∈ Bn . If nlk (f ) > wtmax (f ) − 2n−k , then dair (f ) > 2n−r−1 − 2n−k−1 for 1 ≤ r ≤ k and AI(f ) > k. Results on the Immunity of Boolean Functions against PAA 43 n Since Bent functions have Hamming weight 2n−1 ±2 2 −1 and nonlinearity 2n−1 − n 2 2 −1 , by Corollary 10 we obtain the result proven by Tu and Deng [24]: Bent functions with n ≥ 4 have algebraic immunity greater than 1. Corollary 11. Let f ∈ Bn . If AI(f ) ≤ k, then nlk (f ) ≤ wtmax (f ) − 2n−k and therefore nlk (f ) ≤ 2n−1 − 2n−k−1 .

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Information Security and Privacy: 16th Australasian Conference, ACISP 2011, Melbourne, Australia, July 11-13, 2011. Proceedings by Claude Carlet (auth.), Udaya Parampalli, Philip Hawkes (eds.)


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