Information on Result #548105
There is no linear OA(240, 49, F2, 20) (dual of [49, 9, 21]-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(240, 49, F2, 21) (dual of [49, 9, 22]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(239, 48, F2, 20) (dual of [48, 9, 21]-code) | [i] | Code Embedding in Larger Space | |
| 3 | No linear OA(241, 50, F2, 21) (dual of [50, 9, 22]-code) | [i] | Truncation | |
| 4 | No linear OOA(241, 49, F2, 2, 21) (dual of [(49, 2), 57, 22]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(242, 49, F2, 2, 22) (dual of [(49, 2), 56, 23]-NRT-code) | [i] | ||
| 6 | No linear OOA(243, 49, F2, 2, 23) (dual of [(49, 2), 55, 24]-NRT-code) | [i] | ||
| 7 | No linear OOA(240, 49, F2, 2, 20) (dual of [(49, 2), 58, 21]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(240, 49, F2, 3, 20) (dual of [(49, 3), 107, 21]-NRT-code) | [i] | ||
| 9 | No linear OOA(240, 49, F2, 4, 20) (dual of [(49, 4), 156, 21]-NRT-code) | [i] | ||
| 10 | No linear OOA(240, 49, F2, 5, 20) (dual of [(49, 5), 205, 21]-NRT-code) | [i] | ||
| 11 | No linear OOA(240, 49, F2, 6, 20) (dual of [(49, 6), 254, 21]-NRT-code) | [i] | ||
| 12 | No linear OOA(240, 49, F2, 7, 20) (dual of [(49, 7), 303, 21]-NRT-code) | [i] | ||
| 13 | No linear OOA(240, 49, F2, 8, 20) (dual of [(49, 8), 352, 21]-NRT-code) | [i] | ||
| 14 | No digital (20, 40, 49)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 15 | No linear OA(280, 90, F2, 40) (dual of [90, 10, 41]-code) | [i] | Residual Code | |