Information on Result #548180
There is no linear OA(289, 102, F2, 44) (dual of [102, 13, 45]-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(290, 103, F2, 45) (dual of [103, 13, 46]-code) | [i] | Truncation | |
| 2 | No linear OOA(290, 102, F2, 2, 45) (dual of [(102, 2), 114, 46]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(289, 102, F2, 2, 44) (dual of [(102, 2), 115, 45]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(289, 102, F2, 3, 44) (dual of [(102, 3), 217, 45]-NRT-code) | [i] | ||
| 5 | No linear OOA(289, 102, F2, 4, 44) (dual of [(102, 4), 319, 45]-NRT-code) | [i] | ||
| 6 | No linear OOA(289, 102, F2, 5, 44) (dual of [(102, 5), 421, 45]-NRT-code) | [i] | ||
| 7 | No linear OOA(289, 102, F2, 6, 44) (dual of [(102, 6), 523, 45]-NRT-code) | [i] | ||
| 8 | No linear OOA(289, 102, F2, 7, 44) (dual of [(102, 7), 625, 45]-NRT-code) | [i] | ||
| 9 | No linear OOA(289, 102, F2, 8, 44) (dual of [(102, 8), 727, 45]-NRT-code) | [i] | ||
| 10 | No digital (45, 89, 102)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2177, 191, F2, 88) (dual of [191, 14, 89]-code) | [i] | Residual Code | |