{"product_id":"algebraic-geometry-in-coding-theory-and-cryptography-hardcover","title":"Algebraic Geometry in Coding Theory and Cryptography - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eHarald Niederreiter\u003c\/b\u003e (Author), \u003cb\u003eChaoping Xing\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cbr\u003e \u003cli\u003eIntroduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003eProvides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003eIncludes applications to coding theory and cryptography \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003eCovers the latest advances in algebraic-geometry codes \u003c\/li\u003e\n\u003cbr\u003e \u003cli\u003eFeatures applications to cryptography not treated in other books\u003c\/li\u003e\n\u003cbr\u003e\n\u003c\/ul\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"This is a beautifully written volume that gives the necessary background to read the research literature on coding and cryptography based on concepts from curves in algebraic geometries. Both of the authors are outstanding researchers, well known for the clarity and depth of their contributions. This work is a valuable and welcome addition to the literature on coding and cryptography.\"\u003cb\u003e--Ian F. Blake, University of British Columbia\u003c\/b\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eHarald Niederreiter\u003c\/b\u003e is professor of mathematics and computer science at the National University of Singapore. \u003cb\u003eChaoping Xing\u003c\/b\u003e is professor of mathematics at the Nanyang Technological University in Singapore. They are the authors of \u003ci\u003eRational Points on Curves over Finite Fields: Theory and Applications\u003c\/i\u003e.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 272\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1 x 9.46 x 6.82 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 11, 2009\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47440130834653,"sku":"9780691102887","price":149.59,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0811\/9867\/8237\/files\/NaWZllUtAN9780691102887.webp?v=1771435827","url":"https:\/\/handfulofbooks.com\/products\/algebraic-geometry-in-coding-theory-and-cryptography-hardcover","provider":"Handful of Books","version":"1.0","type":"link"}