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Rational points on curves over finite fields : theory and applications /
Discussion of theory and applications of algebraic curves over finite fields with many rational points.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2001.
|
| Colección: | London Mathematical Society lecture note series ;
285. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBSCO_ocn846496057 | ||
| 003 | OCoLC | ||
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| 072 | 7 | |a MAT |x 012010 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.3/52 |2 22 |
| 084 | |a 31.24 |2 bcl | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Niederreiter, Harald, |d 1944- | |
| 245 | 1 | 0 | |a Rational points on curves over finite fields : |b theory and applications / |c Harald Niederreiter, Chaoping Xing. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2001. | ||
| 300 | |a 1 online resource (x, 245 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 285 | |
| 504 | |a Includes bibliographical references (pages 227-239) and index. | ||
| 505 | 0 | 0 | |t Background on Function Fields -- |t Riemann-Roch Theorem -- |t Divisor Class Groups and Ideal Class Groups -- |t Algebraic Extensions and the Hurwitz Formula -- |t Ramification Theory of Galois Extensions -- |t Constant Field Extensions -- |t Zeta Functions and Rational Places -- |t Class Field Theory -- |t Local Fields -- |t Newton Polygons -- |t Ramification Groups and Conductors -- |t Global Fields -- |t Ray Class Fields and Hilbert Class Fields -- |t Narrow Ray Class Fields -- |t Class Field Towers -- |t Explicit Function Fields -- |t Kummer and Artin-Schreier Extensions -- |t Cyclotomic Function Fields -- |t Drinfeld Modules of Rank 1 -- |t Function Fields with Many Rational Places -- |t Function Fields from Hilbert Class Fields -- |t Function Fields from Narrow Ray Class Fields -- |t The First Construction -- |t The Second Construction -- |t The Third Construction -- |t Function Fields from Cyclotomic Fields -- |t Explicit Function Fields -- |t Asymptotic Results -- |t Asymptotic Behavior of Towers -- |t The Lower Bound of Serre -- |t Further Lower Bounds for A(q[superscript m]) -- |t Explicit Towers -- |t Lower Bounds on A(2), A(3), and A(5) -- |t Applications to Algebraic Coding Theory -- |t Goppa's Algebraic-Geometry Codes -- |t Beating the Asymptotic Gilbert-Varshamov Bound -- |t NXL Codes -- |t XNL Codes -- |t A Propagation Rule for Linear Codes -- |t Applications to Cryptography -- |t Background on Stream Ciphers and Linear Complexity -- |t Constructions of Almost Perfect Sequences -- |t A Construction of Perfect Hash Families -- |t Hash Families and Authentication Schemes -- |t Applications to Low-Discrepancy Sequences. |
| 588 | 0 | |a Print version record. | |
| 520 | |a Discussion of theory and applications of algebraic curves over finite fields with many rational points. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Curves, Algebraic. | |
| 650 | 0 | |a Finite fields (Algebra) | |
| 650 | 0 | |a Rational points (Geometry) | |
| 650 | 0 | |a Coding theory. | |
| 650 | 6 | |a Courbes algébriques. | |
| 650 | 6 | |a Corps finis. | |
| 650 | 6 | |a Codage. | |
| 650 | 6 | |a Points rationnels (Géométrie) | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Coding theory |2 fast | |
| 650 | 7 | |a Curves, Algebraic |2 fast | |
| 650 | 7 | |a Finite fields (Algebra) |2 fast | |
| 650 | 7 | |a Rational points (Geometry) |2 fast | |
| 650 | 7 | |a Algebraische Kurve |2 gnd | |
| 650 | 7 | |a Algebraische Codierung |2 gnd | |
| 650 | 7 | |a Galois-Feld |2 gnd | |
| 650 | 7 | |a Rationaler Punkt |2 gnd | |
| 650 | 1 | 7 | |a Eindige lichamen. |2 gtt |
| 650 | 1 | 7 | |a Krommen. |2 gtt |
| 650 | 7 | |a Corpos de classe. |2 larpcal | |
| 650 | 7 | |a Teoria dos números. |2 larpcal | |
| 650 | 7 | |a Criptologia. |2 larpcal | |
| 650 | 7 | |a Computabilidade e complexidade. |2 larpcal | |
| 650 | 7 | |a Courbes algébriques. |2 ram | |
| 650 | 7 | |a Champs modulaires. |2 ram | |
| 700 | 1 | |a Xing, Chaoping, |d 1963- | |
| 776 | 0 | 8 | |i Print version: |a Niederreiter, Harald, 1944- |t Rational points on curves over finite fields. |d Cambridge ; New York : Cambridge University Press, 2001 |z 0521665434 |w (DLC) 2001025570 |w (OCoLC)46402143 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 285. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569249 |z Texto completo |
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