Publication: Research - peer-review › Article in proceedings – Annual report year: 2008
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.
|Title of host publication||Algebraic Geometry and its Applications : Proceedings of the First SAGA Conference|
|Publisher||World Scientific Publishing Co Pte Ltd|
|Conference||Symposion on Algebraic Geometry and its Application|
|Period||01/01/07 → …|
|Name||Series on Number Theory and Its Applications|
- Algebraic geometry-codes, Tower, Function Field