Information on Result #548148
There is no linear OA(262, 80, F2, 30) (dual of [80, 18, 31]-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(263, 81, F2, 31) (dual of [81, 18, 32]-code) | [i] | Truncation | |
| 2 | No linear OOA(263, 80, F2, 2, 31) (dual of [(80, 2), 97, 32]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(262, 80, F2, 2, 30) (dual of [(80, 2), 98, 31]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(262, 80, F2, 3, 30) (dual of [(80, 3), 178, 31]-NRT-code) | [i] | ||
| 5 | No linear OOA(262, 80, F2, 4, 30) (dual of [(80, 4), 258, 31]-NRT-code) | [i] | ||
| 6 | No linear OOA(262, 80, F2, 5, 30) (dual of [(80, 5), 338, 31]-NRT-code) | [i] | ||
| 7 | No linear OOA(262, 80, F2, 6, 30) (dual of [(80, 6), 418, 31]-NRT-code) | [i] | ||
| 8 | No linear OOA(262, 80, F2, 7, 30) (dual of [(80, 7), 498, 31]-NRT-code) | [i] | ||
| 9 | No linear OOA(262, 80, F2, 8, 30) (dual of [(80, 8), 578, 31]-NRT-code) | [i] | ||
| 10 | No digital (32, 62, 80)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |