02714nam 2200601 450 99646666120331620220629112320.03-540-47892-210.1007/BFb0091534(CKB)1000000000437155(SSID)ssj0000322555(PQKBManifestationID)12131460(PQKBTitleCode)TC0000322555(PQKBWorkID)10289027(PQKB)11141040(DE-He213)978-3-540-47892-8(MiAaPQ)EBC5590673(Au-PeEL)EBL5590673(OCoLC)1066179031(MiAaPQ)EBC6742790(Au-PeEL)EBL6742790(OCoLC)1113569455(PPN)155212095(EXLCZ)99100000000043715520220629d1993 uy 0engurnn|008mamaatxtccrThe development of the number field sieve /A. K. Lenstra, H. W. Lenstra, Jr., editors1st ed. 1993.Berlin ;Heidelberg :Springer-Verlag,[1993]©19931 online resource (VIII, 140 p.) Lecture Notes in Mathematics ;Volume 1554Bibliographic Level Mode of Issuance: Monograph3-540-57013-6 The number field sieve: An annotated bibliography -- Factoring with cubic integers -- The number field sieve -- The lattice sieve -- Factoring integers with the number field sieve -- Computing a square root for the number field sieve -- A general number field sieve implementation.The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.Lecture notes in mathematics (Springer-Verlag) ;Volume 1554.Sieves (Mathematics)Sieves (Mathematics)512.73Lenstra A. K(Arjen K.),1956-Lenstra H. W.Jr.,MiAaPQMiAaPQMiAaPQBOOK996466661203316The Development of the Number Field Sieve2860385UNISA