By Alex Biryukov, Adi Shamir (auth.), Tatsuaki Okamoto (eds.)
ASIACRYPT 2000 used to be the 6th annual ASIACRYPT convention. It was once sp- sored by way of the foreign organization for Cryptologic examine (IACR) in - operation with the Institute of Electronics, info, and verbal exchange Engineers (IEICE). The ?rst convention with the identify ASIACRYPT came about in 1991, and the sequence of ASIACRYPT meetings have been held in 1994, 1996, 1998, and 1999, in cooperation with IACR. ASIACRYPT 2000 used to be the ?rst convention within the sequence to be subsidized through IACR. The convention got one hundred forty submissions (1 submission was once withdrawn through the authors later), and this system committee chosen forty five of those for presen- tion. prolonged abstracts of the revised types of those papers are integrated in those complaints. this system additionally integrated invited lectures by way of Thomas Berson (Cryptography all over: IACR exclusive Lecture) and Hideki Imai (CRYPTREC undertaking – Cryptographic evaluate venture for the japanese digital Government). Abstracts of those talks are integrated in those proce- ings. The convention application additionally integrated its conventional “rump consultation” of brief, casual or impromptu shows, kindly chaired through Moti Yung. these p- sentations aren't re?ected in those court cases. the choice of this system was once a tough job as many prime quality submissions have been bought. this system committee labored very difficult to judge the papers with recognize to caliber, originality, and relevance to cryptography. i'm tremendous thankful to this system committee individuals for his or her en- mous funding of time and e?ort within the di?cult and gentle technique of assessment and selection.
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Additional info for Advances in Cryptology — ASIACRYPT 2000: 6th International Conference on the Theory and Application of Cryptology and Information Security Kyoto, Japan, December 3–7, 2000 Proceedings
Interestingly, even if the LLL “fudge factor” is 24 Glenn Durfee and Phong Q. Nguyen xy e3xy x2y x x2 x3y e3xyz y xy2 xy3 x2y3 x2y4 x3y4 x3y5 e3X2 e3x3y e3X3Y e3x3yz e3X3 – e2xyzf – e2x2yf – – – – – – exyzf2 – e2X2Y 2 e2X2Z – – – – – – – – – – – – – e2x2yzf e2X3Y 2 e2X3Z – – – – eX3Y 3 – – eX3Z2 e3y e3Y e3y2 e2yf y2 e3X2Y e3x2yz exyf2 x2y2 x2z x3y2 x3z x3y3 x3z2 e3X e3x2y e2xyf x3 e3XY e3Y 2 – e2y2f – – eyf2 – ey2f2 – yf3 – y2f3 – – – e2XY 2 – – – – – – – – – – – – – – – – – – – – – e2XY 3 – – – – – – – – – – eX2Y 3 – – – – eX2Y 4 – – – – – X3Y 4 – – – X3Y 5 Fig.
K. Lenstra, H. W. , and L. Lov´ asz. Factoring polynomials with rational coeﬃcients. , 261:513–534, 1982. 10. Waterloo Maple. The Maple computational algebra system for algebra, number theory and geometry. html. 11. W. Meier. Private communication. June, 2000. 12. P. Q. Nguyen and J. Stern. Lattice reduction in cryptology: An update. In Algorithmic Number Theory – Proc. of ANTS-IV, volume 1838 of LNCS. Springer-Verlag, 2000. 13. R. L. Rivest, A. Shamir, and L. M. Adleman. A method for obtaining digital signatures and public-key cryptosystems.
We have uq = ∆q1 ∆q2 mod p and therefore: qr uqr = ∆qr 1 ∆2 mod p, which can be rewritten as qr log(uqr ) = log(∆qr 1 ) + log(∆2 ) mod s, where the logarithms are with respect to ω qr . m1 We build a table T1 consisting of log(∆qr , and a table 1 ) for all ∆1 = 0, . . , 2 qr m2 T2 consisting of log(∆2 ) for all ∆2 = 0, . . , 2 . These tables are independent of ∆. The problem is now to express log(uqr ) as a modular sum t1 + t2 , where t1 ∈ T1 and t2 ∈ T2 . The number of targets t1 + t2 is 2m1 +m2 .
Advances in Cryptology — ASIACRYPT 2000: 6th International Conference on the Theory and Application of Cryptology and Information Security Kyoto, Japan, December 3–7, 2000 Proceedings by Alex Biryukov, Adi Shamir (auth.), Tatsuaki Okamoto (eds.)