Information on Result #2174816
There is no linear OA(2190, 216, F2, 92) (dual of [216, 26, 93]-code), because 4 times code embedding in larger space would yield linear OA(2194, 220, F2, 92) (dual of [220, 26, 93]-code), but
- adding a parity check bit [i] 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 OOA(2191, 216, F2, 2, 93) (dual of [(216, 2), 241, 94]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(2192, 216, F2, 2, 94) (dual of [(216, 2), 240, 95]-NRT-code) | [i] | ||
| 3 | No linear OOA(2193, 216, F2, 2, 95) (dual of [(216, 2), 239, 96]-NRT-code) | [i] | ||
| 4 | No linear OOA(2190, 216, F2, 2, 92) (dual of [(216, 2), 242, 93]-NRT-code) | [i] | Depth Reduction | |
| 5 | No linear OOA(2190, 216, F2, 3, 92) (dual of [(216, 3), 458, 93]-NRT-code) | [i] | ||
| 6 | No linear OOA(2190, 216, F2, 4, 92) (dual of [(216, 4), 674, 93]-NRT-code) | [i] | ||
| 7 | No linear OOA(2190, 216, F2, 5, 92) (dual of [(216, 5), 890, 93]-NRT-code) | [i] | ||
| 8 | No linear OOA(2190, 216, F2, 6, 92) (dual of [(216, 6), 1106, 93]-NRT-code) | [i] | ||
| 9 | No linear OOA(2190, 216, F2, 7, 92) (dual of [(216, 7), 1322, 93]-NRT-code) | [i] | ||
| 10 | No linear OOA(2190, 216, F2, 8, 92) (dual of [(216, 8), 1538, 93]-NRT-code) | [i] | ||
| 11 | No digital (98, 190, 216)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |