Image ArjenLenstra Portrait.jpg thumbnail Arjen K. LenstraArjen Klaas Lenstra born March 2, 1956, Groningen ... projects scientific distributed computing project . ref Arjen K. Lenstra and Mark S. Manasse ... the LenstraLenstra Lov sz lattice basis reduction algorithm LLL lattice reduction algorithm with Hendrik Willem Lenstra and L szl Lov sz . ref A.K. Lenstra, H.W. Lenstra, Jr., and L. Lov sz, Factoring polynomials with rational coefficients . Mathematische Annalen 261 4 pp. 515 534, 1982. ref Lenstra is also co inventor of the XTR cryptosystem . Lenstra s brother Hendrik Lenstra is a professor in mathematics at Leiden University and his brother Jan Karel Lenstra is the director of Centrum Wiskunde & Informatica CWI . On 1 March 2005, ArjenLenstra, Xiaoyun Wang , and Benne de Weger of Eindhoven ... Field Sieve References reflist External links http people.epfl.ch arjen.lenstra Web page on ArjenLenstra at EPFL Persondata Metadata see Wikipedia Persondata . NAME Lenstra, Arjen ALTERNATIVE NAMES SHORT ... Lenstra, Arjen Category 1956 births Category Living people Category Dutch mathematicians Category Modern cryptographers Category People from Groningen city de ArjenLenstra fr ArjenLenstra it Arjen ... Algorithms, and previously worked for Citibank and Bell Labs . Lenstra is active in cryptography ... of RSA 129 which was a high publicity distributed factoring success led by Lenstra along ... of several other RSA numbers . Lenstra was also involved in the development of the General number field sieve number field sieve . ref A. K. Lenstra, H. W. Lenstra, Jr., M. S. Manasse, and J. M. Pollard, The Number Field Sieve, in A. K. Lenstra and H. W. Lenstra, Jr. eds. The Development of the Number ... A. K. Lenstra, H. W. Lenstra, Jr., M. S. Menasse, and J. M. Pollard, The Factorization of the Ninth ... field sieve factorizations including the current record, RSA numbers RSA 768 RSA 768 . Lenstra s most ... public keys. Lenstra is the recipient of the Excellence in the Field of Mathematics RSA Conference ... more details
wiktionary arjenArjen may refer to Arjen Anthony Lucassen born 1960 , a composer and musician from the Netherlands ArjenLenstra born 1956 , a Dutch mathematician Arjen Robben born 1984 , a Dutch footballer who plays for Bayern Munich Arjen Roelofs 1754&ndash 1828 , a Dutch astronomer Arjen Teeuwissen born 1971 , an equestrian from The Netherlands given name de Arjen nl Arjen ... more details
The last name Lenstra may refer to Abe Lenstra , former Dutch football player. Andries Johannes Lenstra , Dutch mathematician. Arjen Klaas Lenstra , Dutch mathematician. Hendrik Willem Lenstra, Jr. , Dutch mathematician. Jan Karel Lenstra , Dutch mathematician. surname It does not help to add disambig or hndis tags where the page only contains people who share a surname ... more details
Infobox scientist name Hendrik Lenstra image Hendrik Lenstra MFO.jpg image size 250px caption Hendrik W. Lenstra, Jr. birth date Birth date and age 1949 04 16 df y birth place Zaandam , Netherlands death date death place nationality Netherlands Dutch fields Mathematics workplaces University of California, Berkeley br University of Leiden alma mater University of Amsterdam doctoral advisor Frans Oort doctoral students Daniel J. Bernstein br Ren Schoof br Peter Stevenhagen known for awards Hendrik Willem Lenstra, Jr. born 16 April 1949 is a Netherlands Dutch mathematician . Biography Lenstra received his doctorate from the University of Amsterdam in 1977 and became a professor there in 1978. In 1987 he was appointed to the faculty of the University of California, Berkeley starting in 1998, he divided his time between Berkeley and the University of Leiden , until 2003, when he retired from Berkeley to take a full time position at Leiden. He was awarded the Spinozapremie in 1998, and on 24 April 2009 he was made a Knight of the Order of the Netherlands Lion . Lenstra has worked principally ... method and a co discoverer of the LenstraLenstra Lov sz lattice basis reduction algorithm . His three brothers ArjenLenstra , Andries Lenstra and Jan Karel Lenstra are also mathematicians. Jan Karel Lenstra is the present director of the Netherlands Centrum Wiskunde & Informatica CWI . Hendrik Lenstra was the Chairman of the Program Committee of the International Congress of Mathematicians ... hwl title Hendrik W. Lenstra , Homepage at the Leiden Mathematisch Instituut MathGenealogy id 18964 Persondata Metadata see Wikipedia Persondata . NAME Lenstra, Hendrik ALTERNATIVE NAMES SHORT DESCRIPTION ... DEFAULTSORT Lenstra, Hendrik Category 1949 births Category Living people Category Dutch mathematicians ... faculty Netherlands scientist stub Euro mathematician stub ar de Hendrik Lenstra fr Hendrik Lenstra nl Hendrik Lenstra zh ... more details
Infobox sportsperson name Arjen Teeuwissen birth date March 29, 1971 birth place death date death place show medals yes medaltemplates MedalSport Equestrianism Equestrian MedalCountry the NED MedalCompetition Olympic Games MedalSilver Equestrian at the 2000 Summer Olympics 2000 Sydney Dressage Team Arjen Gerald Teeuwissen born March 29, 1971 in Mook en Middelaar is an equestrianism equestrian from The Netherlands , who won the silver medal in the Team Dressage event at the 2000 Summer Olympics in Sydney, Australia . He did so alongside Anky van Grunsven , Ellen Bontje , and Coby van Baalen . External links http www.sport.nl Dutch Olympic Committee Persondata Metadata see Wikipedia Persondata . NAME Teeuwissen, Arjen ALTERNATIVE NAMES SHORT DESCRIPTION Equestrian DATE OF BIRTH March 29, 1971 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Teeuwissen, Arjen Category Dressage riders Category 1971 births Category Living people Category Equestrians at the 2000 Summer Olympics Category Dutch equestrians Category Olympic equestrians of the Netherlands Category Olympic silver medalists for the Netherlands Category People from Limburg Netherlands Category Olympic medalists in equestrian Netherlands Olympic medalist stub equestrian bio stub ... more details
Arjen Roelofs 1 March 1754, Hijum 11 May 1828, Hijum was a Netherlands Dutch astronomer . Early life Roelofs was born on the Hommema sate estate near Hijum in Friesland , as the youngest of four sons and two daughters. His father was Roelof Pytters, a tenant farmer and tax receiver. His mother was Neeltje Alberts from Finkum. The oldest son Klaas trained as a steersman, but did not work as one, and instead became a doctor in Sexbierum . The other sister Lisbeth married and left the household. It was not an easy life on the farm, but this is where the other three boys, Pieter, Albert and Arjen had to work. Their mother stimulated the interest of the three sons in mathematics and science , however ... lived on the farm until they died. Arjen Roelofs was supposed to have had polio so he could ... as a mathematician , but was also an excellent instrument maker . Arjen designed telescope s, and Pieter made them. Albert was a clockmaker . Pieter and Arjen took meteorological measurements and made .... Later Arjen regularly worked with instrument maker and farmer Sieds Johannes Rienks of Hallum . In 1817 ... a silver medal by Lodewijk Napoleon 7, on 20 June 1810. Arjen Roelofs made most of the calculations ... and their work associates from Franeker were there and also Eisinga. Arjen Roelofs observed .... Arjen Roelofs was too modest. Different projects Arjen Roelofs was also busy with other activities ... Leije that passes the location of Hommema sate was renamed Arjen Roelofswei. Also the school at Hijum ... by necessity, but he did not ever publish. In 1829 a booklet titled Levensberigten van Arjen Roelofs Life of Arjen Roelofs was published by a farmer acquaintance Worp van Peyma from Ternaard . He was able ... collection of manuscripts. Persondata Metadata see Wikipedia Persondata . NAME Roelofs, Arjen ... 1828 PLACE OF DEATH DEFAULTSORT Roelofs, Arjen Category 1754 births Category 1828 deaths Category Dutch astronomers Category People from Leeuwarderadeel fy Arjen Roelofs nl Arjen Roelofs ... more details
good article Infobox football biography name Arjen Robben image File Arjen Robben travel.jpg 250px fullname Arjen Robben birth date birth date and age 1984 1 23 df y birth place Bedum , Netherlands height ...?id 11137&league GER.1&season 2009&cc 4716 title Arjen Robben accessdate 22 May 2010 publisher ESPN ref ... nationalcaps1 53 nationalgoals1 15 pcupdate 16 December 2011 ntupdate 30 May 2011 Arjen Robben ... Player of the Year and won an Eredivisie title. ref name Arjen Robben uefa cite news title UEFA Champions ... cite news title Arjen Robben Chelsea The Football The Players url http www.chelseafc.com ... of the Year in Germany . ref cite web title Arjen Robben ist Fu baller des Jahres trans title Arjen ... 2010 url http www.kicker.de news fussball bundesliga startseite 540823 artikel Arjen Robben ist Fussballer ... profile Arjen Robben cite news title Real Madrid C.F. player profile Arjen Robben url http www.realmadrid.com ... starts for Groningen over the 2000 01 season, he scored two goals. ref name Arjen Robben career history cite news title Arjen Robben Football Profile url http uk.eurosport.yahoo.com football arjen ... the 2001 02 season, playing in 28 matches and scoring six goals. ref name Arjen Robben career history Robben transferred to PSV for Euro 3.9 million before the 2002 03 season. ref name Arjen Robben ... matches and scored 12 goals. ref name Arjen Robben career history He was named PSV co player ... niederlande arjen robben title Arjen Robben language German publisher em 08 accessdate 19 June 2010 .... ref name Arjen Robben most talented player cite news title Arjen Robben most talented player url ... of the season, Robben scored five times in 23 Eredivisie matches. ref name Arjen Robben ... name Arjen Robben career history File Robben chelsea.jpg thumb 160px left Robben with Chelsea F.C. ... cite news title Arjen Robben signs for Real Madrid url http www.telegraph.co.uk sport football 2318602 Arjen Robben signs for Real Madrid.html publisher Daily Telegraph date 9 August 2007 accessdate 17 ... more details
Image Abe Lenstra u11c.JPG thumb Statue of Abe Lenstra. Abe Lenstra November 27, 1920 in Heerenveen &ndash September 2, 1985 was a Netherlands Dutch football soccer football player and national football icon in the 1950s. He was also a Frisia n legend, most notably with the club where he made his name as a football player, SC Heerenveen . He played for a host of clubs such as SC Enschede, Enschedese Boys, PH DOS 19, WSV, DOS Kampen and vv LTC. However, it was with VV Heerenveen the previous name of current day SC Heerenveen where he first was selected for the Netherlands national football team Dutch national team . With the national team, for which he played a total of 47 caps scoring 33 goals, he struck a partnership with other internationals such as Faas Wilkes and Kees Rijvers . He was known to stand by his principles and objected to play for the national squad if he was not selected for the position he favoured, which explains his relatively low number of international caps. It was Lenstra who put the name of SC Heerenveen on the footballing map, where the club was also fondly referred to as Abeveen . In 1977, long after he retired from football, he was diagnosed with having a brain haemorrhage and spent the remainder of his life using a wheelchair. He died in 1985, just a few ... Abe Lenstra Stadion has been named in his honour as a lasting memorial to this Dutch football hero ... before None after Arie van Vliet years 1951 to 1952 end box br References Yme Kuiper, Abe Lenstra ... Metadata see Wikipedia Persondata . NAME Lenstra, Abe ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH ... Lenstra, Abe Category 1920 births Category 1985 deaths Category Dutch footballers Category Netherlands ... Summer Olympics Category People from Heerenveen Category SC Heerenveen players af Abe Lenstra de Abe Lenstra es Abe Lenstra fr Abe Lenstra fy Abe Lenstra it Abe Lenstra nl Abe Lenstra nds Abe Lenstra pl Abe Lenstra ru , fi Abe Lenstra ... more details
Jan Karel Lenstra is a Dutch mathematician and operations research er, known for his work on scheduling algorithm s, Local search optimization local search , and the travelling salesman problem . Lenstra received his Ph.D. from the University of Amsterdam in 1976, advised by Gijsbert de Leve. ref mathgenealogy name Jan Karel Lenstra id 51371 . ref He then became a researcher at the Centrum Wiskunde & Informatica , where he remained until 1989. After taking positions at the Eindhoven University of Technology where he became Dean of the Faculty of Mathematics and Computer Science and the Georgia Institute of Technology , he returned to CWI as its director in 2003. He stepped down in 2011, and at that time became a CWI Fellow. ref name cwi lion citation title Royal Decoration for Former CWI Director Jan Karel Lenstra date November 4, 2011 url http www.cwi.nl news 2011 royal decoration mathematician and former cwi director jan karel lenstra publisher Centrum Wiskunde & Informatica . ref He was editor in chief of Mathematics of Operations Research from 1993 to 1998, and is editor in chief of Operations Research Letters since 2002. ref name cwi profile http www.cwi.nl people 275 Faculty profile , CWI, retrieved 2011 11 08. ref ref http www.elsevier.com wps find journaleditorialboard.cws home 505567 editorialboard Editorial board , Operations Research Letters , retrieved 2011 11 08. ref Lenstra became an INFORMS fellow in 2004. ref http www.informs.org Connect with People Fellows INFORMS ... a symposium in his honor. ref http www.cwi.nl events symposium jkl Jan Karel Lenstra the traveling science man , CWI, retrieved 2011 11 08. ref Lenstra is the brother of ArjenLenstra , Andries Lenstra, and Hendrik Lenstra , all of whom are also mathematicians. References reflist Persondata Metadata see Wikipedia Persondata . NAME Lenstra, Jan Karel ALTERNATIVE NAMES SHORT DESCRIPTION Mathematician DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Lenstra, Jan Karel Category ... more details
File Arjen van der kieft.jpg thumb 240px Arjen van der Kieft Arjen van der Kieft born May 17, 1985 in Zwanenburg is a Dutch long distance speed skater. He is set to compete for the Netherlands at the 2010 Winter Olympics in the Men s 10000 m. ref http www.vancouver2010.com olympic speed skating athletes arjen van de kieft ath200693pF.html Vancouver 2010 Profile ref References Reflist Persondata Metadata see Wikipedia Persondata . NAME Kieft, Arjen van der ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1987 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Kieft, Arjen van der Category Dutch speed skaters Category Olympic speed skaters of the Netherlands Category Speed skaters at the 2010 Winter Olympics Category 1987 births Category Living people de Arjen van der Kieft ko nds Arjen van der Kieft nl Arjen van der Kieft no Arjen van der Kieft Netherlands speed skating bio stub ... more details
BLP sources date February 2010 Infobox musical artist name Arjen Anthony Lucassen image Arjen Anthony Lucassen.jpg caption Arjen Anthony Lucassen signing an autograph image size 250px background solo singer birth name alias Arjen Lucassen br Arjen A. Lucassen br Anthony birth date Birth date and age ... members past members notable instruments Fender Stratocaster br Gibson Explorer Arjen Anthony Oswold ... gewoon kippenvel krijgen Een interview met Arjen Anthony Lucassen van Ayreon last Hoek first Joost ... events news comments.php?news id 4349&page &message id title Arjen Lucassen Quits Stream ..., in his website his new side project Guilt Machine . ref name News at Arjen A. Lucassen.com cite web url http www.arjenlucassen.com aal aa news.html title Arjen unveils new project Guilt Machine date 2009 02 23 publisher Arjen A. Lucassen official website accessdate 2009 02 23 ref The project features ... on drums and Lori Linstruth ex Stream of Passion on lead guitar. ref name News at Arjen A. Lucassen.com ... albums. For the live albums, EPs and singles of the bands or projects he created, see Template Arjen ... 2005 Kalisia Cybion 2008 References Reflist 1 http www.ayreon.com aal aa biography.html Arjen biography at his official website External links commons Arjen Anthony Lucassen http www.arjenlucassen.com ... Audio Interview with Arjen Part One conducted by Ragnarok Radio http www.ragnarokradio.co.uk 2008 05 episode 19 into the electric castle.html Audio Interview with Arjen Part Two conducted by Ragnarok Radio it http www.rockline.it interview264.html Interview with Arjen Lucassen http www.lebmetal.com 2009 10 22 interview with arjen lucassen Interview with Arjen on Lebmetal.com October 2009 Arjen Anthony ... . NAME Lucassen, Arjen Anthony ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 3 April 1960 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Lucassen, Arjen Anthony Category Arjen Anthony ... Progressive rock pianists Category Dutch singer songwriters Category 21st century composers cs Arjen ... more details
Infobox Stadium stadium name Abe Lenstra Stadion image Image Abe lenstra stadion medio 2010.png 300px fullname Abe Lenstra Stadion nickname location Heerenveen , Netherlands built 1993 opened 1994 seating capacity 26,100 ref http www.sc heerenveen.nl pageid 16343 ref tenants sc Heerenveen Abe Lenstra Stadion is a association football football stadium in Heerenveen , Netherlands . It is currently used mostly for the home matches of Eredivisie club SC Heerenveen Heerenveen . The current capacity is 26,100. The name Abe Lenstra Stadion The stadium is named after Abe Lenstra , the greatest Heerenveen player in the history of the club. Abe was born on November 27, 1920 in Heerenveen. He joined the club at the age of 15 years. After almost 17 years at Heerenveen, he joined SC Enschede in 1954. He left this club in 1960 to joins SC Enschede s archrival Enschedese Boys . In 1963 he stopped playing football at the age of 42. In totall he scored 700 goals in about 730 matches. Abe died on the 2nd of September 1985, he was 64 years old, at the eve of what was to become the only international match to be played in the community sportspark that was to become the old Abe Lenstrastadium. Construction of the stadium The construction of the stadium started in 1993. The plan was to build a stadium ... www.sc heerenveen.nl pageid 1038 Abe Lenstra stadion.html . In the beginning of December 2010 FIFA ... De Grolsch Veste . Image Abe Lenstra Stadion pano 03m.jpg thumb centre 800px clear References ... Lenstra, Abe Category Football venues in the Netherlands Category Buildings and structures in Friesland Category Heerenveen Category SC Heerenveen Category Sport in Friesland de Abe Lenstra Stadion es Abe Lenstra Stadion fr Abe Lenstra Stadion fy Abe Lenstra stadion it Abe Lenstra Stadion nl Abe Lenstra Stadion ja no Abe Lenstra Stadion pl Abe Lenstra Stadion pt Abe Lenstra Stadion ru tr Abe Lenstra Stadion ... more details
9 cite book editor1 link ArjenLenstra editor1 last Lenstra editor1 first A. K. editor2 last Lenstra ...The Lenstra elliptic curve factorization or the elliptic curve factorization method ECM is a fast, sub exponential running time algorithm for integer factorization which employs elliptic curve s. For general purpose computer general purpose factoring, ECM is the third fastest known factoring method. The second fastest is the quadratic sieve multiple polynomial quadratic sieve and the fastest is the general number field sieve . The Lenstra elliptic curve factorization is named after Hendrik Lenstra . Practically speaking, ECM is considered a special purpose factoring algorithm as it is most suitable for finding small factors. As of 2006 alt Currently , it is still the best algorithm for divisor s not greatly exceeding 20 to 25 decimal digits 64 to 83 binary digit bit s or so , as its running time is dominated by the size of the smallest factor p rather than by the size of the number n to be factored. Frequently, ECM is used to remove small factors from a very large integer with many factors if the remaining integer is still composite, then it has only large factors and is factored using general purpose techniques. The largest factor found using ECM so far has 73 digits and was discovered on 6 March 2010 by Joppe Bos , Thorsten Kleinjung , ArjenLenstra and Peter Montgomery . ref http www.loria.fr zimmerma records top50.html 50 largest factors found by ECM ref Increasing the number ... in the number of digits. Lenstra s elliptic curve factorization The Lenstra elliptic curve factorization ... the right circumstances a non trivial divisor can be found. As pointed out in Lenstra s article ... last Lenstra Jr. first H. W. title Factoring integers with elliptic curves journal Annals of Mathematics ... Integer factorization algorithms Category Finite fields fr Factorisation de Lenstra par les courbes elliptiques nl Algoritme van Lenstra ru ... more details
The LLL reduction algorithm LenstraLenstra Lov sz lattice basis reduction is a polynomial time lattice reduction algorithm invented by ArjenLenstra , Hendrik Lenstra and L szl Lov sz in 1982, see Harvnb LenstraLenstra Lov sz 1982 . Given as input a basis linear algebra basis math mathbf B mathbf b 1, mathbf b 2, dots, mathbf b d , math with n dimensional integer coordinates, for a lattice group lattice L in R sup n sup with math d leq n math , the LLL algorithm outputs an LLL reduced short, nearly orthogonal lattice basis in time math O d 5n log 3 B . , math . where B is the largest of the lengths of the math b i math under the Euclidean norm. The original applications were to give polynomial time algorithms for factorizing polynomials with rational coefficients into irreducible polynomials, for finding simultaneous rational approximations to real numbers, and for solving the linear programming integer linear programming problem in fixed dimensions. LLL reduction The precise definition of LLL reduced is as follows Given a Basis linear algebra basis math mathbf B mathbf b 1, mathbf b 2, dots, mathbf b n , math with its Gram Schmidt process orthogonal basis, math mathbf B mathbf b 1, mathbf b 2, dots, mathbf b n math define math mu i,j frac langle mathbf b i, mathbf b j rangle langle mathbf b j, mathbf b j rangle math , for any math 1 le j i le n math . Then the basis math B math is LLL reduced if there exists a parameter math delta math in 0.25,1 such that the following holds size reduced For math 1 leq j i leq n colon left mu i,j right leq 0.5 math . By definition, this property ..., A. Lenstra, H. Lenstra and L. Lov sz demonstrated the LLL reduction algorithm for math delta frac ... 138 ref harv isbn 3540556400 Cite journal last1 Lenstra first1 A. K. author1 link A. K. Lenstra last2 Lenstra first2 H. W., Jr. author2 link H. W. Lenstra, Jr. last3 Lov sz first3 L. author3 link L szl ... date September 2010 DEFAULTSORT LenstraLenstra Lovasz Lattice Basis Reduction Algorithm Category ... more details
Orphan date October 2008 FreeLIP is a large integer Library software written in C Language created by ArjenLenstra . Free LIP v1.1 is based on the LIP used in the RSA 129 project, with a few bug fixes and minor enhancements. Permission is granted for free re distribution for non commercial uses only. See also GNU GNU Multi Precision Library GMP is a similar software. External links http www.win.tue.nl klenstra Home Page of Arjen K. Lenstra with download link for LIP, which is actually FreeLIP 1.1. Category Cryptographic software Crypto stub compu library stub ... more details
by ArjenLenstra and Hendrik Lenstra in their article on Algorithms in Number Theory . ref Arjen K. Lenstra and Hendrik W. Lenstra, Jr, Algorithms in Number Theory , in Handbook of Theoretical ... more details
factorization was announced on April 1, 1991 by ArjenLenstraArjen K. Lenstra . ref cite web url ... quadratic sieve algorithm on a MasPar parallel computer. ref name Lenstra cite web author Brandon Dixon and Arjen K. Lenstra url http www.springerlink.com link.asp?id jdeqqpgku2xk3pve doi 10.1007 ... 110 decimal digits 364 bits , and was factored in April 1992 by ArjenLenstraArjen K. Lenstra and Mark S. Manasse in approximately one month. ref name Lenstra The value and factorization is as follows ... in June 1993 by Thomas Denny, Bruce Dodson , Arjen K. Lenstra, and Mark S. Manasse. ref T. Denny, B. Dodson, A. K. Lenstra, M. S. Manasse 1994 , http www.springerlink.com content n9tvubu089l1x58y ... Graff , ArjenLenstraArjen K. Lenstra and Paul Leyland , using approximately 1600 computers ... on April 10, 1996 by a team led by ArjenLenstraArjen K. Lenstra and composed of Jim Cowie ... , Damian Weber and Joerg Zayer . ref Arjen K. Lenstra 1996 04 12 , http www.utm.edu research primes ... 2, 1999 by a team led by Herman te Riele and composed of Stefania Cavallar , Bruce Dodson, ArjenLenstraArjen K. Lenstra , Paul Leyland, Walter Lioen , Peter L. Montgomery, Brian Murphy mathematician ... Cavallar, Bruce Dodson, ArjenLenstraArjen K. Lenstra , Walter Lioen, Peter L. Montgomery, Brian ... Aoki, Jens Franke, ArjenLenstraArjen K. Lenstra , Emmanuel Thom , Pierrick Gaudry, Alexander Kruppa ... more details
Infobox Organization name International Association for Cryptologic Research image image border size caption map msize mcaption abbreviation motto formation 1982 type status purpose headquarters location region served membership language leader title President leader name Bart Preneel main organ Journal of Cryptology parent organization affiliations num staff num volunteers budget website http www.iacr.org www.iacr.org remarks The International Association for Cryptologic Research IACR is a non profit scientific organization whose purpose is to further research in cryptology and related fields. The IACR sponsors some of the major conferences and workshops in the field of cryptography, publishes the Journal of Cryptology , and maintains the Cryptology ePrint Archive . The IACR sponsors three annual conferences, Crypto conference Crypto , Eurocrypt and Asiacrypt and four annual workshops, Fast Software Encryption Fast Software Encryption FSE , Public Key Cryptography PKC conference PKC , Cryptographic Hardware and Embedded Systems CHES and the Theory of Cryptography Conference Theory of Cryptography Conference TCC . A few other conferences and workshops are affiliated to the IACR. The IACR was organised at the initiative of David Chaum at CRYPTO 82. CRYPTO 83 was the first conference officially sponsored by the IACR. In 2000, IACR had approximately 1600 members and its current president is Bart Preneel . The IACR has established the IACR Fellows Program, an honor to bestow upon its exceptional members. There are currently 27 IACR Fellows Tom Berson , David Chaum , Don Coppersmith , Whitfield Diffie , Ronald Rivest , Adi Shamir , Kevin McCurley , Gustavus Simmons , Jacques Stern , Gilles Brassard , Martin Hellman , Shafi Goldwasser , Hideki Imai , Silvio Micali , Ueli Maurer, Ralph Merkle , Moni Naor , George Blakley , Oded Goldreich , Arjen Lenstra , James Massey , Michael O. Rabin , Andrew Clark, Ivan Damg rd , Yvo G. Desmedt , Jean Jacques Quisquater and Andrew Yao ... more details
Summary Author Arjen Noordeman. Art Created by Arjen Noordeman. All rights Reserved. 2006 Source http www.noordeman.com Licensing GFDL self with disclaimers migration relicense Copy to Wikimedia Commons bot Fbot Orphan image ... more details
Lattice sieving is a technique for finding smooth number smooth values of a bivariate polynomial math f a,b math over a large region. It is almost exclusively used in conjunction with the number field sieve . The original idea of the lattice sieve came from John Pollard mathematician John Pollard . ref Arjen K. Lenstra and H. W. Lenstra, Jr. eds. . The development of the number field sieve . Lecture Notes in Math. 1993 1554. Springer Verlag. ref The algorithm implicitly involves the ideal ring theory ideal structure of the number field of the polynomial it takes advantage of the theorem that any prime ideal above some rational prime p can be written as math p mathbb Z alpha u v alpha mathbb Z alpha math . One then picks many prime numbers q of an appropriate size, usually just above the factor base limit, and proceeds by For each q , list the prime ideals above q by factorising the polynomial f a,b over math GF q math For each of these prime ideals, which are called special math mathfrak q math s, construct a lattice reduction reduced basis math mathbf x, mathbf y math for the lattice L generated by math mathfrak q math set a two dimensional array called the sieve region to zero. For each prime ideal math mathfrak p math in the factor base, construct a reduced basis math mathbf x mathfrak p, mathbf y mathfrak p math for the sublattice of L generated by math mathfrak pq math For each element of that sublattice lying within a sufficiently large sieve region, add math log mathfrak p math to that entry. Read out all the entries in the sieve region with a large enough value For the number field sieve application, it is necessary for two polynomials both to have smooth values this is handled by running the inner loop over both polynomials, whilst the special q can be taken from either side. Treatments of the inmost loop There are a number of clever approaches to implementing the inmost loop, since listing the elements of a lattice within a rectangular region efficiently i ... more details
The text The Magic Words are Squeamish Ossifrage was the solution to a challenge ciphertext posed by the inventors of the RSA algorithm RSA cipher in 1977. The problem appeared in Martin Gardner s Mathematical Games column in Scientific American . It was solved in 1993&ndash 1994 by a large joint computer project co ordinated by Derek Atkins , Michael Graff , Arjen Lenstra and Paul Leyland . More than 600 volunteers contributed Central processing unit CPU time from about 1,600 machines two of which were fax machines over six months. The coordination was done via the Internet and was one of the first such projects. Ossifrage is an older name for the lammergeier , a scavenging vulture that is famous for dropping animal bones and live tortoises onto rocks to crack them open. It might perhaps be considered among the least squeamish of creatures. The 1993 1994 effort began the tradition of using the words squeamish ossifrage in cryptanalysis cryptanalytic challenges. The difficulty of breaking the RSA cipher &mdash recovering a plaintext message given a ciphertext and the public key &mdash is connected to the difficulty of integer factorization factoring large numbers. While it is not known if the two problems are mathematically equivalent, factoring is currently the only method of directly breaking RSA. The decryption of the 1977 ciphertext involved the factoring of a 129 digit number, RSA 129 , in order to recover the plaintext . Ron Rivest estimated in 1977 that factoring a 125 digit number would require 40 1000000000000000 number quadrillion years, even with the highly conservative assumption that modular multiplication could be carried out in a nanosecond he therefore then believed that RSA 129 could never be broken in practice. What he failed to take into account was the possibility of progress in factoring algorithm s, and a lot of progress was made in the following decades. Atkins et al. used the quadratic sieve algorithm invented by Carl Pomerance in 1981. While ... more details
Germanic name te Riele Riele Hermanus Johannes Joseph te Riele born January 5, 1947, The Hague is a mathematician at Centrum Wiskunde & Informatica CWI in Amsterdam with a specialization in computational number theory. He is known, a.o., for proving the correctness of the Rieman hypothesis for the first 1,5 billion non trivial zeros of the Riemann zeta function, with Jan van de Lune and Dik Winter, for disproving the Mertens conjecture , with Andrew Odlyzko , and for factoring large numbers of world record size. In 1987 he found a new upper bound for x &minus Li x see Skewes number . In 1970, te Riele received an Engineer s degree in mathematical engineering from Delft University of Technology and in 1976 a Doctor of Philosophy PhD degree in mathematics and physics from University of Amsterdam 1976 . References A.M. Odlyzko and H.J.J. te Riele, Disproof of the Mertens conjecture , Journal f r die reine und angewandte Mathematik 357 1985 , 138 160. J. van de Lune, H.J.J. te Riele and D.T. Winter, On the zeros of the Riemann zeta function in the critical strip , IV, Math. Comp. 46 1986 , 667 681. H.J.J. te Riele, On the difference x &minus Li x , Math. Comp. 48 1987 , 323&ndash 328. Thorsten Kleinjung, Kazumaro Aoki, Jens Franke, Arjen Lenstra, Emmanuel Thom , Joppe Bos, Pierrick Gaudry, Alexander Kruppa, Peter Montgomery, Dag Arne Osvik, Herman te Riele, Andrey Timofeev and Paul Zimmermann, Factorization of a 768 bit RSA modulus , pp. 333 350 in T. Rabin ed. , Proceedings of Advances in Cryptology CRYPTO 2010 , Springer, 2010. External links http homepages.cwi.nl herman Herman te Riele Home Page MathGenealogy id 46080 Persondata Metadata see Wikipedia Persondata . NAME Riele, Herman J.J. te ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH January 5, 1947 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Riele, Herman J.J. te Category 1947 births Category Living people Category Dutch mathematicians Category 20th century mathematicians Category 2 ... more details
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