Information on Result #1302033
Linear OA(749, 186, F7, 21) (dual of [186, 137, 22]-code), using construction X with Varšamov bound based on
- linear OA(748, 184, F7, 21) (dual of [184, 136, 22]-code), using
- trace code [i] based on linear OA(4924, 92, F49, 21) (dual of [92, 68, 22]-code), using
- extended algebraic-geometric code AGe(F,70P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- trace code [i] based on linear OA(4924, 92, F49, 21) (dual of [92, 68, 22]-code), using
- linear OA(748, 185, F7, 20) (dual of [185, 137, 21]-code), using Gilbert–Varšamov bound and bm = 748 > Vbs−1(k−1) = 20980 321116 072652 872255 199308 869480 905537 [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 OA(750, 194, F7, 21) (dual of [194, 144, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(751, 209, F7, 21) (dual of [209, 158, 22]-code) | [i] | ||