Information on Result #548360
There is no linear OA(2169, 184, F2, 84) (dual of [184, 15, 85]-code), because residual code would yield linear OA(285, 99, F2, 42) (dual of [99, 14, 43]-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(2170, 185, F2, 85) (dual of [185, 15, 86]-code) | [i] | Truncation | |
| 2 | No linear OOA(2170, 184, F2, 2, 85) (dual of [(184, 2), 198, 86]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2169, 184, F2, 2, 84) (dual of [(184, 2), 199, 85]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2169, 184, F2, 3, 84) (dual of [(184, 3), 383, 85]-NRT-code) | [i] | ||
| 5 | No linear OOA(2169, 184, F2, 4, 84) (dual of [(184, 4), 567, 85]-NRT-code) | [i] | ||
| 6 | No linear OOA(2169, 184, F2, 5, 84) (dual of [(184, 5), 751, 85]-NRT-code) | [i] | ||
| 7 | No linear OOA(2169, 184, F2, 6, 84) (dual of [(184, 6), 935, 85]-NRT-code) | [i] | ||
| 8 | No linear OOA(2169, 184, F2, 7, 84) (dual of [(184, 7), 1119, 85]-NRT-code) | [i] | ||
| 9 | No linear OOA(2169, 184, F2, 8, 84) (dual of [(184, 8), 1303, 85]-NRT-code) | [i] | ||
| 10 | No digital (85, 169, 184)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |