Name
Abstract | ||
|---|---|---|
Let Χ denote the hyperelliptic curve y<SUP align=right>2</SUP> = x<SUP align=right>p</SUP> - x over a field F of characteristic p. The automorphism group of Χ is G = PSL(2, p). Let D be a G-invariant divisor on Χ(F). We compute explicit F-bases for the Riemann-Roch space of D in many cases as well as G-module decompositions. AG codes with good parameters and large automorphism group are constructed as a result. Numerical examples using GAP and SAGE are also given. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1504/IJICOT.2010.032545 | IJICoT |
Keywords | Field | DocType |
explicit f-bases,g-module decomposition,riemann-roch space,field f,g-invariant divisor,large automorphism group,sup align,characteristic p,automorphism group,ag code,automorphisms,hyperelliptic curve | Discrete mathematics,Automorphism group,Outer automorphism group,Hyperelliptic curve,Combinatorics,Automorphism,Riemann hypothesis,PSL,Inner automorphism,Divisor,Mathematics | Journal |
Volume | Issue | Citations |
1 | 3 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Darren B. Glass | 1 | 0 | 2.70 |
| David Joyner | 2 | 9 | 8.40 |
| A. Ksir | 3 | 10 | 2.88 |