000 | 03914nam a22005415i 4500 | ||
---|---|---|---|
001 | 978-3-540-47267-4 | ||
003 | DE-He213 | ||
005 | 20190213151227.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1992 gw | s |||| 0|eng d | ||
020 |
_a9783540472674 _9978-3-540-47267-4 |
||
024 | 7 |
_a10.1007/BFb0087986 _2doi |
|
050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
|
072 | 7 |
_aMAT012010 _2bisacsh |
|
072 | 7 |
_aPBMW _2thema |
|
082 | 0 | 4 |
_a516.35 _223 |
245 | 1 | 0 |
_aCoding Theory and Algebraic Geometry _h[electronic resource] : _bProceedings of the International Workshop held in Luminy, France, June 17–21, 1991 / _cedited by Henning Stichtenoth, Michael A. Tsfasman. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1992. |
|
300 |
_aVIII, 232 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1518 |
|
505 | 0 | _aAlgebraic geometry and coding theory an introduction -- Reed-Muller codes associated to projective algebraic varieties -- Decoding Algebraic-Geometric Codes by solving a key equation -- On the different of abelian extensions of global fields -- Goppa codes and Weierstrass gaps -- On a characterization of some minihypers in PG(t,q) (q=3 or 4) and its applications to error-correcting codes -- Deligne-Lusztig varieties and group codes -- Spectra of linear codes and error probability of decoding -- On the true minimum distance of Hermitian codes -- Sphere packings centered at S-units of algebraic tori -- A function field related to the Ree group -- On the gonality of curves, abundant codes and decoding -- Curves with many points and multiplication in finite fileds -- The domain of covering codes -- Some remarks on the asymptotic number of points -- On the weights of trace codes -- Minoration de Certaines Sommes Exponentielles Binaires -- Linear codes, strata of Grassmannians, and the problems of segre. | |
520 | _aAbout ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aNumber theory. | |
650 | 0 |
_aChemistry _xMathematics. |
|
650 | 0 | _aEngineering. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
650 | 2 | 4 |
_aMath. Applications in Chemistry. _0http://scigraph.springernature.com/things/product-market-codes/C17004 |
650 | 2 | 4 |
_aComputational Intelligence. _0http://scigraph.springernature.com/things/product-market-codes/T11014 |
700 | 1 |
_aStichtenoth, Henning. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aTsfasman, Michael A. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662174821 |
776 | 0 | 8 |
_iPrinted edition: _z9783540556510 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1518 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0087986 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9950 _d9950 |