Name
Abstract | ||
|---|---|---|
Giulietti and Korchmáros presented new curves with the maximal number of points over a field of size q6. Garcia, Güneri, and Stichtenoth extended the construction to curves that are maximal over fields of size q2n, for odd n ≥ 3. The generalized GK-curves have affine equations xq+x = yq+1 and yq2-y = zr, for r=(qn+1)/(q+1). We give a new proof for the maximality of the generalized GK-curves and we outline methods to efficiently obtain their two-point coordinate ring. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/TIT.2010.2095230 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
affine equations xq,generalized gk-curves,new curve,size q6,size q2n,maximal number,new proof,odd n,two-point coordinate rings,number theory,poles and zeros,polynomials,information theory | Affine transformation,Information theory,Discrete mathematics,Pole–zero plot,Polynomial,Affine variety,Mathematics | Journal |
Volume | Issue | ISSN |
57 | 2 | 0018-9448 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| I. M. Duursma | 1 | 61 | 8.04 |