Information on Result #548340
There is no linear OA(2152, 164, F2, 76) (dual of [164, 12, 77]-code), because residual code would yield linear OA(276, 87, F2, 38) (dual of [87, 11, 39]-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(2153, 165, F2, 77) (dual of [165, 12, 78]-code) | [i] | Truncation | |
| 2 | No linear OOA(2153, 164, F2, 2, 77) (dual of [(164, 2), 175, 78]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2154, 164, F2, 2, 78) (dual of [(164, 2), 174, 79]-NRT-code) | [i] | ||
| 4 | No linear OOA(2155, 164, F2, 2, 79) (dual of [(164, 2), 173, 80]-NRT-code) | [i] | ||
| 5 | No linear OOA(2152, 164, F2, 2, 76) (dual of [(164, 2), 176, 77]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(2152, 164, F2, 3, 76) (dual of [(164, 3), 340, 77]-NRT-code) | [i] | ||
| 7 | No linear OOA(2152, 164, F2, 4, 76) (dual of [(164, 4), 504, 77]-NRT-code) | [i] | ||
| 8 | No linear OOA(2152, 164, F2, 5, 76) (dual of [(164, 5), 668, 77]-NRT-code) | [i] | ||
| 9 | No linear OOA(2152, 164, F2, 6, 76) (dual of [(164, 6), 832, 77]-NRT-code) | [i] | ||
| 10 | No linear OOA(2152, 164, F2, 7, 76) (dual of [(164, 7), 996, 77]-NRT-code) | [i] | ||
| 11 | No linear OOA(2152, 164, F2, 8, 76) (dual of [(164, 8), 1160, 77]-NRT-code) | [i] | ||
| 12 | No digital (76, 152, 164)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |