Information on Result #1313763
Linear OA(1653, 690, F16, 22) (dual of [690, 637, 23]-code), using 43 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 1, 11 times 0, 1, 27 times 0) based on linear OA(1648, 642, F16, 22) (dual of [642, 594, 23]-code), using
- trace code [i] based on linear OA(25624, 321, F256, 22) (dual of [321, 297, 23]-code), using
- extended algebraic-geometric code AGe(F,298P) [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(1653, 690, F16, 2, 22) (dual of [(690, 2), 1327, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (31, 53, 690)-net over F16 | [i] | ||