Information on Result #1314015
Linear OA(1687, 793, F16, 37) (dual of [793, 706, 38]-code), using 142 step Varšamov–Edel lengthening with (ri) = (4, 0, 1, 5 times 0, 1, 12 times 0, 1, 26 times 0, 1, 40 times 0, 1, 52 times 0) based on linear OA(1678, 642, F16, 37) (dual of [642, 564, 38]-code), using
- trace code [i] based on linear OA(25639, 321, F256, 37) (dual of [321, 282, 38]-code), using
- extended algebraic-geometric code AGe(F,283P) [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(1687, 793, F16, 2, 37) (dual of [(793, 2), 1499, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (50, 87, 793)-net over F16 | [i] | ||