By Pascal Paillier, Damien Vergnaud (auth.), Bimal Roy (eds.)
This e-book constitutes the refereed complaints of the eleventh foreign convention at the conception and alertness of Cryptology and data protection, ASIACRYPT 2005, held in Chennai, India in December 2005.
The 37 revised complete papers provided have been conscientiously reviewed and chosen from 237 submissions. The papers are equipped in topical sections on algebra and quantity idea, multiparty computation, 0 wisdom and mystery sharing, details and quantum concept, privateness and anonymity, cryptanalytic ideas, circulate cipher cryptanalysis, block ciphers and hash services, bilinear maps, key contract, provable protection, and electronic signatures.
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Additional info for Advances in Cryptology - ASIACRYPT 2005: 11th International Conference on the Theory and Application of Cryptology and Information Security, Chennai, India, December 4-8, 2005. Proceedings
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These results constitute the ﬁrst formulation of a polynomial time random reducibility result for the elliptic curve dlog problem which is general enough to apply to typical curves that one ordinarily encounters in practice. An essential tool in our proof is the nearly Ramanujan property of Section 3, which we use to prove the expansion properties of our isogeny graphs. The expansion property in turn allows us to prove the rapid mixing of random walks given by compositions of small degree isogenies within a ﬁxed level.
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Advances in Cryptology - ASIACRYPT 2005: 11th International Conference on the Theory and Application of Cryptology and Information Security, Chennai, India, December 4-8, 2005. Proceedings by Pascal Paillier, Damien Vergnaud (auth.), Bimal Roy (eds.)