By Carlos Aguilar Melchor, Slim Bettaieb (auth.), Amr Youssef, Abderrahmane Nitaj, Aboul Ella Hassanien (eds.)
This ebook constitutes the refereed court cases of the sixth overseas convention at the thought and alertness of Cryptographic suggestions in Africa, AFRICACRYPT 2013, held in Cairo, Egypt, in June 2013.
The 26 papers provided have been conscientiously reviewed and chosen from seventy seven submissions. They disguise the subsequent issues: secret-key and public-key cryptography and cryptanalysis, effective implementation, cryptographic protocols, layout of cryptographic schemes, safeguard proofs, foundations and complexity idea, info concept, multi-party computation, elliptic curves, and lattices.
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This publication constitutes the refereed lawsuits of the sixth overseas convention at the thought and alertness of Cryptographic innovations in Africa, AFRICACRYPT 2013, held in Cairo, Egypt, in June 2013. The 26 papers offered have been conscientiously reviewed and chosen from seventy seven submissions. They disguise the next issues: secret-key and public-key cryptography and cryptanalysis, effective implementation, cryptographic protocols, layout of cryptographic schemes, safeguard proofs, foundations and complexity conception, info conception, multi-party computation, elliptic curves, and lattices.
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Extra resources for Progress in Cryptology – AFRICACRYPT 2013: 6th International Conference on Cryptology in Africa, Cairo, Egypt, June 22-24, 2013. Proceedings
Bhattacharya, and A. Das 9. : High speed cryptoprocessor for ηT pairing on 128-bit secure supersingular elliptic curves over characteristic two ﬁelds. , Takagi, T. ) CHES 2011. LNCS, vol. 6917, pp. 442–458. Springer, Heidelberg (2011) 10. : NVIDIA’s Fermi: The ﬁrst complete GPU computing architecture. White paper, NVIDIA Corporation (2009) 11. : Software implementation of pairings. In: Cryptology and Information Security Series, vol. 2, pp. 188–206. IOS Press (2009) 12. : Guide to elliptic curve cryptography.
Wegener, I. ) ICALP 2006. LNCS, vol. 4052, pp. 144–155. Springer, Heidelberg (2006) 24. : Complexity of Lattice Problems: a cryptographic perspective. The Kluwer International Series in Engineering and Computer Science, vol. 671. Kluwer Academic Publishers, Boston (2002) 25. : Eﬃcient public key encryption based on ideal lattices. In: Matsui, M. ) ASIACRYPT 2009. LNCS, vol. 5912, pp. 617–635. Springer, Heidelberg (2009) 26. : Privacy ampliﬁcation by public discussion. SIAM J. Comput. 5 in , and the associated proof, which deals with statistical distance between signatures with two related secret keys in the signature scheme we are based on.
K. Bhattacharya, and A. Das One-level Karatsuba Multiplication. Using Karatsuba multiplication in conjunction with L´ opez-Dahab multiplication can speed up eta-pairing computations further, because Karatsuba multiplication reduces the number of F2 multiplications at the cost of some linear operations. If we split each element A of F21223 in two parts Ahi and Alo of ten words each, L´ opez-Dahab multiplication of A and B requires four multiplications of ten-word operands (Ahi Bhi , Alo Blo , Alo Bhi , and Ahi Blo ), as shown below (where n = 640): (Ahi xn + Alo )(Bhi xn + Blo ) = Ahi Bhi x2n + (Ahi Blo + Alo Bhi )xn + Alo Blo .