Information on Result #1288473
Linear OA(1666, 642, F16, 31) (dual of [642, 576, 32]-code), using trace code based on linear OA(25633, 321, F256, 31) (dual of [321, 288, 32]-code), using
- extended algebraic-geometric code AGe(F,289P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, 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(1667, 643, F16, 31) (dual of [643, 576, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(1671, 657, F16, 31) (dual of [657, 586, 32]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(1672, 675, F16, 31) (dual of [675, 603, 32]-code) | [i] | ||
| 4 | Linear OA(1673, 711, F16, 31) (dual of [711, 638, 32]-code) | [i] | ||
| 5 | Linear OA(1674, 767, F16, 31) (dual of [767, 693, 32]-code) | [i] | ||
| 6 | Linear OA(1675, 838, F16, 31) (dual of [838, 763, 32]-code) | [i] | ||