Information on Result #2156255
There is no linear OA(2105, 118, F2, 52) (dual of [118, 13, 53]-code), because adding a parity check bit would yield linear OA(2106, 119, F2, 53) (dual of [119, 13, 54]-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(2106, 118, F2, 2, 53) (dual of [(118, 2), 130, 54]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(2105, 118, F2, 2, 52) (dual of [(118, 2), 131, 53]-NRT-code) | [i] | Depth Reduction | |
| 3 | No linear OOA(2105, 118, F2, 3, 52) (dual of [(118, 3), 249, 53]-NRT-code) | [i] | ||
| 4 | No linear OOA(2105, 118, F2, 4, 52) (dual of [(118, 4), 367, 53]-NRT-code) | [i] | ||
| 5 | No linear OOA(2105, 118, F2, 5, 52) (dual of [(118, 5), 485, 53]-NRT-code) | [i] | ||
| 6 | No linear OOA(2105, 118, F2, 6, 52) (dual of [(118, 6), 603, 53]-NRT-code) | [i] | ||
| 7 | No linear OOA(2105, 118, F2, 7, 52) (dual of [(118, 7), 721, 53]-NRT-code) | [i] | ||
| 8 | No linear OOA(2105, 118, F2, 8, 52) (dual of [(118, 8), 839, 53]-NRT-code) | [i] | ||
| 9 | No digital (53, 105, 118)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |