Information on Result #548324
There is no linear OA(2137, 153, F2, 68) (dual of [153, 16, 69]-code), because residual code would yield linear OA(269, 84, F2, 34) (dual of [84, 15, 35]-code), 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 OA(2138, 154, F2, 69) (dual of [154, 16, 70]-code) | [i] | Truncation | |
| 2 | No linear OOA(2138, 153, F2, 2, 69) (dual of [(153, 2), 168, 70]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2137, 153, F2, 2, 68) (dual of [(153, 2), 169, 69]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2137, 153, F2, 3, 68) (dual of [(153, 3), 322, 69]-NRT-code) | [i] | ||
| 5 | No linear OOA(2137, 153, F2, 4, 68) (dual of [(153, 4), 475, 69]-NRT-code) | [i] | ||
| 6 | No linear OOA(2137, 153, F2, 5, 68) (dual of [(153, 5), 628, 69]-NRT-code) | [i] | ||
| 7 | No linear OOA(2137, 153, F2, 6, 68) (dual of [(153, 6), 781, 69]-NRT-code) | [i] | ||
| 8 | No linear OOA(2137, 153, F2, 7, 68) (dual of [(153, 7), 934, 69]-NRT-code) | [i] | ||
| 9 | No linear OOA(2137, 153, F2, 8, 68) (dual of [(153, 8), 1087, 69]-NRT-code) | [i] | ||
| 10 | No digital (69, 137, 153)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |