Information on Result #548160
There is no linear OA(273, 86, F2, 36) (dual of [86, 13, 37]-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(274, 87, F2, 37) (dual of [87, 13, 38]-code) | [i] | Truncation | |
| 2 | No linear OOA(274, 86, F2, 2, 37) (dual of [(86, 2), 98, 38]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(273, 86, F2, 2, 36) (dual of [(86, 2), 99, 37]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(273, 86, F2, 3, 36) (dual of [(86, 3), 185, 37]-NRT-code) | [i] | ||
| 5 | No linear OOA(273, 86, F2, 4, 36) (dual of [(86, 4), 271, 37]-NRT-code) | [i] | ||
| 6 | No linear OOA(273, 86, F2, 5, 36) (dual of [(86, 5), 357, 37]-NRT-code) | [i] | ||
| 7 | No linear OOA(273, 86, F2, 6, 36) (dual of [(86, 6), 443, 37]-NRT-code) | [i] | ||
| 8 | No linear OOA(273, 86, F2, 7, 36) (dual of [(86, 7), 529, 37]-NRT-code) | [i] | ||
| 9 | No linear OOA(273, 86, F2, 8, 36) (dual of [(86, 8), 615, 37]-NRT-code) | [i] | ||
| 10 | No digital (37, 73, 86)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 11 | No linear OA(2145, 159, F2, 72) (dual of [159, 14, 73]-code) | [i] | Residual Code | |