Towers of Global Function Fields with Asymptotically Many Rational Places and an Improvement on the Gilbert - Varshamov Bound

Harald Niederreiter; Chaoping Xing

doi:10.1002/mana.19981950110

Towers of Global Function Fields with Asymptotically Many Rational Places and an Improvement on the Gilbert - Varshamov Bound

Mathematische Nachrichten ◽

10.1002/mana.19981950110 ◽

1998 ◽

Vol 195 (1) ◽

pp. 171-186 ◽

Cited By ~ 31

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places

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Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places

Acta Arithmetica ◽

10.4064/aa-79-1-59-76 ◽

1997 ◽

Vol 79 (1) ◽

pp. 59-76 ◽

Cited By ~ 15

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places ◽

Class Fields

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GLOBAL FUNCTION FIELDS WITH MANY RATIONAL PLACES OVER THE QUINARY FIELD

Demonstratio Mathematica ◽

10.1515/dema-1997-0421 ◽

1997 ◽

Vol 30 (4) ◽

pp. 919-930 ◽

Cited By ~ 4

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places

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Low-Discrepancy Sequences and Global Function Fields with Many Rational Places

Finite Fields and Their Applications ◽

10.1006/ffta.1996.0016 ◽

1996 ◽

Vol 2 (3) ◽

pp. 241-273 ◽

Cited By ~ 97

Author(s):

Harold Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Low Discrepancy Sequences ◽

Rational Places

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Explicit global function fields over the binary field with many rational places

Acta Arithmetica ◽

10.4064/aa-75-4-383-396 ◽

1996 ◽

Vol 75 (4) ◽

pp. 383-396 ◽

Cited By ~ 12

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Binary Field ◽

Global Function Fields ◽

Rational Places

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Global function fields with many rational places and their applications

Finite Fields: Theory, Applications and Algorithms - Contemporary Mathematics ◽

10.1090/conm/225/03212 ◽

1999 ◽

pp. 87-111 ◽

Cited By ~ 8

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places

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Global function fields with many rational places over the ternary field

Acta Arithmetica ◽

10.4064/aa-83-1-65-86 ◽

1998 ◽

Vol 83 (1) ◽

pp. 65-86 ◽

Cited By ~ 8

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places ◽

Ternary Field

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Global function fields with many rational places over the quinary field. II

Acta Arithmetica ◽

10.4064/aa-86-3-277-288 ◽

1998 ◽

Vol 86 (3) ◽

pp. 277-288

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places

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A general method of constructing global function fields with many rational places

Lecture Notes in Computer Science - Algorithmic Number Theory ◽

10.1007/bfb0054892 ◽

1998 ◽

pp. 555-566 ◽

Cited By ~ 2

Author(s):

Harald Niederreiter ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places ◽

General Method

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Ray class fields of global function fields with many rational places

Acta Arithmetica ◽

10.4064/aa-95-2-97-122 ◽

2000 ◽

Vol 95 (2) ◽

pp. 97-122 ◽

Cited By ~ 10

Author(s):

Roland Auer

Keyword(s):

Function Fields ◽

Global Function ◽

Global Function Fields ◽

Rational Places ◽

Class Fields ◽

Ray Class Fields

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Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle.2012.003 ◽

2013 ◽

Vol 2013 (675) ◽

Cited By ~ 1

Author(s):

Cornelius Greither ◽

Cristian D. Popescu

Keyword(s):

Function Fields ◽

Class Groups ◽

Global Function ◽

Global Function Fields

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