Information on Result #547970
There is no linear OA(722, 46, F7, 19) (dual of [46, 24, 20]-code), because construction Y1 would yield
- OA(721, 25, S7, 19), but
- the linear programming bound shows that M ≥ 105 565168 311740 677323 / 184 > 721 [i]
- linear OA(724, 46, F7, 21) (dual of [46, 22, 22]-code), but
- discarding factors / shortening the dual code would yield linear OA(724, 31, F7, 21) (dual of [31, 7, 22]-code), but
- residual code [i] would yield OA(73, 9, S7, 3), but
- discarding factors / shortening the dual code would yield linear OA(724, 31, F7, 21) (dual of [31, 7, 22]-code), but
Mode: Bound (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(731, 53, F7, 27) (dual of [53, 22, 28]-code) | [i] | Construction Y1 (Bound) | |