Information on Result #548635
There is no linear OA(79, 49, F7, 7) (dual of [49, 40, 8]-code), because construction Y1 would yield
- linear OA(78, 14, F7, 7) (dual of [14, 6, 8]-code), but
- “MPa†bound on codes from Brouwer’s database [i]
- OA(740, 49, S7, 35), but
- discarding factors would yield OA(740, 47, S7, 35), but
- the linear programming bound shows that M ≥ 721 282691 041861 962448 675704 052408 625288 / 101475 > 740 [i]
- discarding factors would yield OA(740, 47, S7, 35), 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 OOA(79, 49, F7, 2, 7) (dual of [(49, 2), 89, 8]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(79, 49, F7, 3, 7) (dual of [(49, 3), 138, 8]-NRT-code) | [i] | ||
| 3 | No digital (2, 9, 49)-net over F7 | [i] | Extracting Embedded Orthogonal Array | |