LEADER 04231nam 2200625 450 001 9910813134103321 005 20230803200325.0 010 $a3-11-037955-4 024 7 $a10.1515/9783110317916 035 $a(CKB)3280000000038958 035 $a(EBL)1663205 035 $a(SSID)ssj0001432265 035 $a(PQKBManifestationID)12626309 035 $a(PQKBTitleCode)TC0001432265 035 $a(PQKBWorkID)11388567 035 $a(PQKB)11418087 035 $a(MiAaPQ)EBC1663205 035 $a(DE-B1597)210253 035 $a(OCoLC)890071075 035 $a(OCoLC)900717938 035 $a(DE-B1597)9783110317916 035 $a(Au-PeEL)EBL1663205 035 $a(CaPaEBR)ebr11010294 035 $a(CaONFJC)MIL805198 035 $a(EXLCZ)993280000000038958 100 $a20150213h20142014 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aAlgebraic curves and finite fields $ecryptography and other applications /$fedited by Harald Niederreiter [and three others] 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2014. 210 4$d©2014 215 $a1 online resource (254 p.) 225 1 $aRadon Series on Computational and Applied Mathematics,$x1865-3707 ;$vVolume 16 300 $aDescription based upon print version of record. 311 0 $a3-11-031788-5 311 0 $a3-11-031791-5 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $tFront matter --$tIntroduction --$tContents --$tGeneric Newton polygons for curves of given p-rank /$rAchter, Jeffrey D. / Pries, Rachel --$tGood towers of function fields /$rBassa, Alp / Beelen, Peter / Nguyen, Nhut --$tCorrelation-immune Boolean functions for easing counter measures to side-channel attacks /$rCarlet, Claude / Guilley, Sylvain --$tThe discrete logarithm problem with auxiliary inputs /$rCheon, Jung Hee / Kim, Taechan / Song, Yongsoo --$tGarden of curves with many automorphisms /$rGiulietti, Massimo / Korchmáros, Gábor --$tNonlinear shift registers - A survey and challenges /$rHelleseth, Tor --$tPermutations of finite fields and uniform distribution modulo 1 /$rPausinger, Florian / Topuzo?lu, Alev --$tSemifields, relative difference sets, and bent functions /$rPott, Alexander / Schmidt, Kai-Uwe / Zhou, Yue --$tNTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings /$rSteinfeld, Ron --$tAnalog of the Kronecker-Weber theorem in positive characteristic /$rVilla-Salvador, Gabriel D. --$tIndex --$tBackmatter 330 $aAlgebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics. 410 0$aRadon series on computational and applied mathematics ;$vVolume 16. 606 $aCurves, Algebraic 615 0$aCurves, Algebraic. 676 $a516.352 686 $aSK 240$qSEPA$2rvk 702 $aNiederreiter$b Harald 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910813134103321 996 $aAlgebraic curves and finite fields$93972268 997 $aUNINA