Cryptography and Lattices : International Conference, CaLC 2001, Providence, RI, USA, March 29-30, 2001. Revised Papers / / edited by Joseph H. Silverman

• Record Nr.: UNINA9910143627003321
• Pubbl/distr/stampa: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001
• ISBN: 3-540-44670-2
• Edizione: [1st ed. 2001.]
• Descrizione fisica: 1 online resource (VIII, 224 p.)
• Collana: Lecture Notes in Computer Science, , 0302-9743 ; ; 2146
• Disciplina: 005.8/2
• Soggetti: Data encryption (Computer science); Computers; Algorithms; Computer science—Mathematics; Cryptology; Computation by Abstract Devices; Algorithm Analysis and Problem Complexity; Discrete Mathematics in Computer Science; Symbolic and Algebraic Manipulation
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
• Nota di contenuto: An Overview of the Sieve Algorithm for the Shortest Lattice Vector Problem -- Low Secret Exponent RSA Revisited -- Finding Small Solutions to Small Degree Polynomials -- Fast Reduction of Ternary Quadratic Forms -- Factoring Polynomials and 0—1 Vectors -- Approximate Integer Common Divisors -- Segment LLL-Reduction of Lattice Bases -- Segment LLL-Reduction with Floating Point Orthogonalization -- The Insecurity of Nyberg-Rueppel and Other DSA-Like Signature Schemes with Partially Known Nonces -- Dimension Reduction Methods for Convolution Modular Lattices -- Improving Lattice Based Cryptosystems Using the Hermite Normal Form -- The Two Faces of Lattices in Cryptology -- A 3-Dimensional Lattice Reduction Algorithm -- The Shortest Vector Problem in Lattices with ; Many Cycles -- Multisequence Synthesis over an Integral Domain.
• Sommario/riassunto: ThesearetheproceedingsofCaLC2001,the'rstconferencedevotedtocr- tographyandlattices. Wehavelongbelievedthattheimportanceoflattices andlatticereductionincryptography,bothforcryptographicconstructionand cryptographicanalysis,meritsagatheringdevotedtothistopic. Theenthusiastic responsethatwereceivedfromtheprogramcommittee,theinvitedspeakers,the manypeoplewhosubmittedpapers,andthe90registeredparticipantsamply con'rmedthewidespreadinterestinlatticesandtheircryptographicappli- tions. WethankeveryonewhoseinvolvementmadeCaLCsuchasuccessfulevent; inparticularwethankNatalieJohnson,LarryLarrivee,DoreenPappas,andthe BrownUniversityMathematicsDepartmentfortheirassistanceandsupport. March2001 Je'reyHo'stein,JillPipher,JosephSilverman VI Preface Organization CaLC2001wasorganizedbytheDepartmentofMathematicsatBrownUniv- sity. Theprogramchairsexpresstheirthankstotheprogramcommiteeandthe additionalexternalrefereesfortheirhelpinselectingthepapersforCaLC2001. TheprogramchairswouldalsoliketothankNTRUCryptosystemsforproviding ?nancialsupportfortheconference. Program Commitee DonCoppersmith IBMResearch Je'reyHo'stein(co-chair), BrownUniversityandNTRUCryptosystems ArjenLenstra Citibank,USA PhongNguyen ENS AndrewOdlyzko AT&TLabsResearch JosephH. Silverman(co-chair), BrownUniversityandNTRUCryptosystems External Referees AliAkhavi,GlennDurfee,NickHowgrave-Graham,DanieleMicciancio Sponsoring Institutions NTRUCryptosystems,Inc. ,Burlington,MA Table of Contents An Overveiw of the Sieve Algorithm forthe Shortest Lattice Vector Problem 1 Miklos Ajtai, Ravi Kumar, and Dandapani Sivakumar Low Secret Exponent RSA Revisited ::::::::::::::::::::::::::::::::: 4 Johannes Bl¨ omer and Alexander May Finding Small Solutions to Small Degree Polynomials::::::::::::::::::: 20 Don Coppersmith Fast Reduction of Ternary Quadratic Forms::::::::::::::::::::::::::: 32 Friedrich Eisenbrand and Gunt ¨ er Rote Factoring Polynomialsand 0-1 Vectors:::::::::::::::::::::::::::::::: 45 Mark van Hoeij Approximate Integer Common Divisors::::::::::::::::::::::::::::::: 51 Nick Howgrave-Graham Segment LLL-Reduction of Lattice Bases ::::::::::::::::::::::::::::: 67 Henrik Koy and Claus Peter Schnorr Segment LLL-Reduction with Floating Point Orthogonalization:::::::::: 81 Henrik Koy and Claus Peter Schnorr TheInsecurity ofNyberg-Rueppel andOther DSA-LikeSignatureSchemes with Partially Known Nonces:::::::::::::::::::::::::::::::::::::::: 97 Edwin El Mahassni, Phong Q. Nguyen, and Igor E. Shparlinski Dimension Reduction Methods for Convolution Modular Lattices :::::::: 110 Alexander May and Joseph H. Silverman Improving Lattice Based Cryptosystems Using the Hermite Normal Form : 126 Daniele Micciancio The Two Faces of Lattices in Cryptology:::::::::::::::::::::::::::::: 146 Phong Q.