Information on Result #1302012
Linear OA(745, 186, F7, 19) (dual of [186, 141, 20]-code), using construction X with Varšamov bound based on
- linear OA(744, 184, F7, 19) (dual of [184, 140, 20]-code), using
- trace code [i] based on linear OA(4922, 92, F49, 19) (dual of [92, 70, 20]-code), using
- extended algebraic-geometric code AGe(F,72P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- trace code [i] based on linear OA(4922, 92, F49, 19) (dual of [92, 70, 20]-code), using
- linear OA(744, 185, F7, 18) (dual of [185, 141, 19]-code), using Gilbert–Varšamov bound and bm = 744 > Vbs−1(k−1) = 7 173558 145740 333651 985283 793000 495937 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(745, 175, F7, 2, 19) (dual of [(175, 2), 305, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |