Information on Result #548185
There is no linear OA(2100, 111, F2, 50) (dual of [111, 11, 51]-code), because “Ja†bound on codes from Brouwer’s database
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(2101, 112, F2, 51) (dual of [112, 11, 52]-code) | [i] | Truncation | |
| 2 | No linear OOA(2101, 111, F2, 2, 51) (dual of [(111, 2), 121, 52]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2100, 111, F2, 2, 50) (dual of [(111, 2), 122, 51]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2100, 111, F2, 3, 50) (dual of [(111, 3), 233, 51]-NRT-code) | [i] | ||
| 5 | No linear OOA(2100, 111, F2, 4, 50) (dual of [(111, 4), 344, 51]-NRT-code) | [i] | ||
| 6 | No linear OOA(2100, 111, F2, 5, 50) (dual of [(111, 5), 455, 51]-NRT-code) | [i] | ||
| 7 | No linear OOA(2100, 111, F2, 6, 50) (dual of [(111, 6), 566, 51]-NRT-code) | [i] | ||
| 8 | No linear OOA(2100, 111, F2, 7, 50) (dual of [(111, 7), 677, 51]-NRT-code) | [i] | ||
| 9 | No linear OOA(2100, 111, F2, 8, 50) (dual of [(111, 8), 788, 51]-NRT-code) | [i] | ||
| 10 | No digital (50, 100, 111)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |