{"product_id":"lattice-basis-reduction-murray-r-bremner-9781439807026","title":"Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications","description":"\u003cp\u003eFirst realized in the 1980s by Lenstra, Lenstra, and Lovasz, the LLL algorithm was originally intended to factor polynomials with rational coefficients. It improved upon the existing lattice reduction algorithm in order to solve integer linear programming problems and was later adapted for use in crypanalysis. This book provides an introduction to the theory and applications of lattice basis reduction and the LLL algorithm. With numerous examples and suggested exercises, the text discusses various applications of lattice basis reduction to polynomial factorization, cryptography, number theory, and matrix canonical forms. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Murray R. Bremner\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1439807027\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781439807026\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/12\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 332\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.75lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.60h x 5.60w x 0.60d","brand":"Murray R. Bremner","offers":[{"title":"Hardcover","offer_id":47579734442239,"sku":"9781439807026","price":150.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5c6c197d-92a5-4885-b30f-f41503c5254a.jpg?v=1763876279","url":"https:\/\/www.whiterainbookhouse.com\/products\/lattice-basis-reduction-murray-r-bremner-9781439807026","provider":"WR Book House","version":"1.0","type":"link"}