An Evaluation of the Sieving Device YASD for 1024-bit Integers* SHARCS 2006, Cologne, Germany April 4, 2006 Naoyuki Hirota (UEC), ○Tetsuya Izu (FUJITSU), Noboru Kunihiro (UEC), Kazuo Ohta (UEC)

Source URL: www.hyperelliptic.org

• Cryptography
• Integer factorization algorithms
• Weizmann Institute of Science
• Computational hardness assumptions
• TWINKLE
• TWIRL
• General number field sieve
• Integer factorization
• Factor base
• RSA
• World records

An Evaluation of the Sieving Device YASD for 1024-bit Integers ? (Extended Abstract) Naoyuki Hirota1 , Tetsuya Izu2 , Noboru Kunihiro1 and Kazuo Ohta1 1

Source URL: www.hyperelliptic.org

• Cryptography
• Mathematics
• Weizmann Institute of Science
• Integer factorization algorithms
• Integer sequences
• TWINKLE
• Integer factorization
• TWIRL
• Prime number
• Dynamic random-access memory
• Factor base
• XTR

京都大学数理解析研究所講究録 No.1371, 2004 年 4 月，pp. 1–12. 離散凸解析の概要 東京大学大学院 数理情報学専攻  室 田 一 雄 (Kazuo Murota) Graduate School of Information

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Hausdorff Center for Mathematics, Summer School (May 9–13, 2016) Problems for “Discrete Convex Analysis” (by Kazuo Murota) Problem 1. Prove that a function f : Z2 → R defined by f (x1 , x2 ) = φ(x1 − x2 ) is

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December 8, 2016 Errata to Kazuo Murota, Akiyoshi Shioura, and Zaifu Yang: “Time Bounds for Iterative Auctions: A Unified Approach by Discrete Convex Analysis”

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Hausdorff School: Economics and Tropical Geometry Bonn, May 9-13, 2016 Discrete Convex Analysis III: Algorithms for Discrete Convex Functions Kazuo Murota

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ERRATA: Bifurcation Theory for Hexagonal Agglomeration in Economic Geography Springer, 2014 by Kiyohiro Ikeda and Kazuo Murota October 3, 2016

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⋆ Combinatorial Optimization (Oberwolfach, November 9–15, Discrete DC Programming by Discrete Convex Analysis —Use of Conjugacy— Kazuo Murota (U. Tokyo)

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Hausdorff Institute of Mathematics, Summer School (September 21–25, Discrete Convex Analysis∗ Kazuo Murota 1

Source URL: www.comp.tmu.ac.jp

Hausdorff School: Economics and Tropical Geometry Bonn, May 9-13, 2016 Discrete Convex Analysis I: Concepts of Discrete Convex Functions Kazuo Murota

Source URL: www.comp.tmu.ac.jp