000 02607nam a22004935i 4500
001 978-1-4020-5334-4
003 DE-He213
005 20251006084520.0
007 cr nn 008mamaa
008 100301s2007 ne | s |||| 0|eng d
020 _a9781402053344
020 _a99781402053344
024 7 _a10.1007/1-4020-5334-4
_2doi
082 0 4 _a512.7
_223
100 1 _aGarcia, Arnaldo.
_eeditor.
245 1 0 _aTopics in Geometry, Coding Theory and Cryptography
_h[electronic resource] /
_cedited by Arnaldo Garcia, Henning Stichtenoth.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2007.
300 _aX, 200 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAlgebra and Applications ;
_v6
520 _aThe theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches. This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use.
650 0 _aMATHEMATICS.
650 0 _aDATA ENCRYPTION (COMPUTER SCIENCE).
650 0 _aCODING THEORY.
650 0 _aGEOMETRY, ALGEBRAIC.
650 0 _aNUMBER THEORY.
650 1 4 _aMATHEMATICS.
650 2 4 _aNUMBER THEORY.
650 2 4 _aALGEBRAIC GEOMETRY.
650 2 4 _aCODING AND INFORMATION THEORY.
650 2 4 _aDATA ENCRYPTION.
700 1 _aStichtenoth, Henning.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402053337
830 0 _aAlgebra and Applications ;
_v6
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-5334-4
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c61232
_d61232