Information on Result #548241
There is no linear OA(441, 51, F4, 31) (dual of [51, 10, 32]-code), because “Gur†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 OOA(441, 51, F4, 2, 31) (dual of [(51, 2), 61, 32]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(441, 51, F4, 3, 31) (dual of [(51, 3), 112, 32]-NRT-code) | [i] | ||
| 3 | No digital (10, 41, 51)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4165, 176, F4, 124) (dual of [176, 11, 125]-code) | [i] | Residual Code | |