Conference paper
An Optimal Unramified Tower of Function Fields
Efficient construction of long algebraic geometric--codes resulting from optimal towers of function fields is known to be difficult. In the following a tower which is both optimal and unramified after its third level, is investigated in the hope that its simple ramification structure can be exploited in the construction of algebraic geometric--codes.
Results are mostly negative, but help clarifying the difficulties in computing bases of Riemann--Roch spaces.
Language: | English |
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Publisher: | World Scientific |
Year: | 2008 |
Pages: | 351-365 |
Proceedings: | Symposion on Algebraic Geometry and its Application |
Series: | Series on Number Theory and Its Applications |
Journal subtitle: | Proceedings of the First Saga Conference |
ISBN: | 1281934275 , 9812793429 , 9812793437 , 9781281934277 , 9789812793423 and 9789812793430 |
Types: | Conference paper |