Information on Result #548176
There is no linear OA(285, 99, F2, 42) (dual of [99, 14, 43]-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(286, 100, F2, 43) (dual of [100, 14, 44]-code) | [i] | Truncation | |
| 2 | No linear OOA(286, 99, F2, 2, 43) (dual of [(99, 2), 112, 44]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(285, 99, F2, 2, 42) (dual of [(99, 2), 113, 43]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(285, 99, F2, 3, 42) (dual of [(99, 3), 212, 43]-NRT-code) | [i] | ||
| 5 | No linear OOA(285, 99, F2, 4, 42) (dual of [(99, 4), 311, 43]-NRT-code) | [i] | ||
| 6 | No linear OOA(285, 99, F2, 5, 42) (dual of [(99, 5), 410, 43]-NRT-code) | [i] | ||
| 7 | No linear OOA(285, 99, F2, 6, 42) (dual of [(99, 6), 509, 43]-NRT-code) | [i] | ||
| 8 | No linear OOA(285, 99, F2, 7, 42) (dual of [(99, 7), 608, 43]-NRT-code) | [i] | ||
| 9 | No linear OOA(285, 99, F2, 8, 42) (dual of [(99, 8), 707, 43]-NRT-code) | [i] | ||
| 10 | No digital (43, 85, 99)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2169, 184, F2, 84) (dual of [184, 15, 85]-code) | [i] | Residual Code | |