Information on Result #1288446
Linear OA(1638, 578, F16, 18) (dual of [578, 540, 19]-code), using trace code based on linear OA(25619, 289, F256, 18) (dual of [289, 270, 19]-code), using
- extended algebraic-geometric code AGe(F,270P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1639, 579, F16, 18) (dual of [579, 540, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | OA(851, 578, S8, 18) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(1644, 667, F16, 18) (dual of [667, 623, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(1645, 754, F16, 18) (dual of [754, 709, 19]-code) | [i] | ||
| 5 | Linear OA(1646, 877, F16, 18) (dual of [877, 831, 19]-code) | [i] | ||