Information on Result #1313747
Linear OA(1651, 699, F16, 21) (dual of [699, 648, 22]-code), using 52 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 0, 1, 12 times 0, 1, 34 times 0) based on linear OA(1646, 642, F16, 21) (dual of [642, 596, 22]-code), using
- trace code [i] based on linear OA(25623, 321, F256, 21) (dual of [321, 298, 22]-code), using
- extended algebraic-geometric code AGe(F,299P) [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(1651, 699, F16, 2, 21) (dual of [(699, 2), 1347, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (30, 51, 699)-net over F16 | [i] | ||