Information on Result #2156254
There is no linear OA(2104, 115, F2, 52) (dual of [115, 11, 53]-code), because adding a parity check bit would yield linear OA(2105, 116, F2, 53) (dual of [116, 11, 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(2105, 115, F2, 2, 53) (dual of [(115, 2), 125, 54]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(2107, 115, F2, 2, 55) (dual of [(115, 2), 123, 56]-NRT-code) | [i] | ||
| 3 | No linear OOA(2104, 115, F2, 2, 52) (dual of [(115, 2), 126, 53]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2104, 115, F2, 3, 52) (dual of [(115, 3), 241, 53]-NRT-code) | [i] | ||
| 5 | No linear OOA(2104, 115, F2, 4, 52) (dual of [(115, 4), 356, 53]-NRT-code) | [i] | ||
| 6 | No linear OOA(2104, 115, F2, 5, 52) (dual of [(115, 5), 471, 53]-NRT-code) | [i] | ||
| 7 | No linear OOA(2104, 115, F2, 6, 52) (dual of [(115, 6), 586, 53]-NRT-code) | [i] | ||
| 8 | No linear OOA(2104, 115, F2, 7, 52) (dual of [(115, 7), 701, 53]-NRT-code) | [i] | ||
| 9 | No linear OOA(2104, 115, F2, 8, 52) (dual of [(115, 8), 816, 53]-NRT-code) | [i] | ||
| 10 | No digital (52, 104, 115)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |