Information on Result #1313705
Linear OA(1644, 684, F16, 18) (dual of [684, 640, 19]-code), using 38 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 7 times 0, 1, 27 times 0) based on linear OA(1640, 642, F16, 18) (dual of [642, 602, 19]-code), using
- trace code [i] based on linear OA(25620, 321, F256, 18) (dual of [321, 301, 19]-code), using
- extended algebraic-geometric code AGe(F,302P) [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(1644, 684, F16, 2, 18) (dual of [(684, 2), 1324, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (26, 44, 684)-net over F16 | [i] | ||