Information on Result #1313950
Linear OA(1678, 753, F16, 33) (dual of [753, 675, 34]-code), using 103 step Varšamov–Edel lengthening with (ri) = (4, 0, 1, 5 times 0, 1, 14 times 0, 1, 30 times 0, 1, 48 times 0) based on linear OA(1670, 642, F16, 33) (dual of [642, 572, 34]-code), using
- trace code [i] based on linear OA(25635, 321, F256, 33) (dual of [321, 286, 34]-code), using
- extended algebraic-geometric code AGe(F,287P) [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 OOA(1678, 753, F16, 2, 33) (dual of [(753, 2), 1428, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (45, 78, 753)-net over F16 | [i] | ||