Information on Result #548137
There is no linear OA(243, 74, F2, 20) (dual of [74, 31, 21]-code), because “Ja†bound on codes from Brouwer’s database
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(244, 75, F2, 21) (dual of [75, 31, 22]-code) | [i] | Truncation | |
| 2 | No linear OOA(244, 74, F2, 2, 21) (dual of [(74, 2), 104, 22]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(243, 74, F2, 2, 20) (dual of [(74, 2), 105, 21]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(243, 74, F2, 3, 20) (dual of [(74, 3), 179, 21]-NRT-code) | [i] | ||
| 5 | No linear OOA(243, 74, F2, 4, 20) (dual of [(74, 4), 253, 21]-NRT-code) | [i] | ||
| 6 | No linear OOA(243, 74, F2, 5, 20) (dual of [(74, 5), 327, 21]-NRT-code) | [i] | ||
| 7 | No linear OOA(243, 74, F2, 6, 20) (dual of [(74, 6), 401, 21]-NRT-code) | [i] | ||
| 8 | No linear OOA(243, 74, F2, 7, 20) (dual of [(74, 7), 475, 21]-NRT-code) | [i] | ||
| 9 | No linear OOA(243, 74, F2, 8, 20) (dual of [(74, 8), 549, 21]-NRT-code) | [i] | ||
| 10 | No digital (23, 43, 74)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |