Information on Result #2156270
There is no linear OA(2194, 220, F2, 92) (dual of [220, 26, 93]-code), because adding a parity check bit would yield linear OA(2195, 221, F2, 93) (dual of [221, 26, 94]-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(2194, 220, F2, 93) (dual of [220, 26, 94]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(2194, 220, F2, 94) (dual of [220, 26, 95]-code) | [i] | ||
| 3 | No linear OA(2194, 220, F2, 95) (dual of [220, 26, 96]-code) | [i] | ||
| 4 | No linear OA(2193, 219, F2, 92) (dual of [219, 26, 93]-code) | [i] | Code Embedding in Larger Space | |
| 5 | No linear OA(2192, 218, F2, 92) (dual of [218, 26, 93]-code) | [i] | ||
| 6 | No linear OA(2191, 217, F2, 92) (dual of [217, 26, 93]-code) | [i] | ||
| 7 | No linear OA(2190, 216, F2, 92) (dual of [216, 26, 93]-code) | [i] | ||
| 8 | No linear OA(2189, 215, F2, 92) (dual of [215, 26, 93]-code) | [i] | ||
| 9 | No linear OA(2196, 222, F2, 94) (dual of [222, 26, 95]-code) | [i] | Truncation | |
| 10 | No linear OA(2197, 223, F2, 95) (dual of [223, 26, 96]-code) | [i] | ||
| 11 | No linear OA(2198, 224, F2, 96) (dual of [224, 26, 97]-code) | [i] | ||
| 12 | No linear OA(2199, 225, F2, 97) (dual of [225, 26, 98]-code) | [i] | ||
| 13 | No linear OA(2201, 227, F2, 99) (dual of [227, 26, 100]-code) | [i] | ||
| 14 | No linear OOA(2195, 220, F2, 2, 93) (dual of [(220, 2), 245, 94]-NRT-code) | [i] | m-Reduction for OOAs | |
| 15 | No linear OOA(2196, 220, F2, 2, 94) (dual of [(220, 2), 244, 95]-NRT-code) | [i] | ||
| 16 | No linear OOA(2197, 220, F2, 2, 95) (dual of [(220, 2), 243, 96]-NRT-code) | [i] | ||
| 17 | No linear OOA(2198, 220, F2, 2, 96) (dual of [(220, 2), 242, 97]-NRT-code) | [i] | ||
| 18 | No linear OOA(2199, 220, F2, 2, 97) (dual of [(220, 2), 241, 98]-NRT-code) | [i] | ||
| 19 | No linear OOA(2200, 220, F2, 2, 98) (dual of [(220, 2), 240, 99]-NRT-code) | [i] | ||
| 20 | No linear OOA(2201, 220, F2, 2, 99) (dual of [(220, 2), 239, 100]-NRT-code) | [i] | ||
| 21 | No linear OOA(2194, 220, F2, 2, 92) (dual of [(220, 2), 246, 93]-NRT-code) | [i] | Depth Reduction | |
| 22 | No linear OOA(2194, 220, F2, 3, 92) (dual of [(220, 3), 466, 93]-NRT-code) | [i] | ||
| 23 | No linear OOA(2194, 220, F2, 4, 92) (dual of [(220, 4), 686, 93]-NRT-code) | [i] | ||
| 24 | No linear OOA(2194, 220, F2, 5, 92) (dual of [(220, 5), 906, 93]-NRT-code) | [i] | ||
| 25 | No linear OOA(2194, 220, F2, 6, 92) (dual of [(220, 6), 1126, 93]-NRT-code) | [i] | ||
| 26 | No linear OOA(2194, 220, F2, 7, 92) (dual of [(220, 7), 1346, 93]-NRT-code) | [i] | ||
| 27 | No linear OOA(2194, 220, F2, 8, 92) (dual of [(220, 8), 1566, 93]-NRT-code) | [i] | ||
| 28 | No digital (102, 194, 220)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 29 | No linear OA(2195, 232, F2, 92) (dual of [232, 37, 93]-code) | [i] | Construction Y1 (Bound) | |