Information on Result #548222
There is no linear OA(357, 68, F3, 38) (dual of [68, 11, 39]-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(357, 68, F3, 2, 38) (dual of [(68, 2), 79, 39]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(357, 68, F3, 3, 38) (dual of [(68, 3), 147, 39]-NRT-code) | [i] | ||
| 3 | No linear OOA(357, 68, F3, 4, 38) (dual of [(68, 4), 215, 39]-NRT-code) | [i] | ||
| 4 | No linear OOA(357, 68, F3, 5, 38) (dual of [(68, 5), 283, 39]-NRT-code) | [i] | ||
| 5 | No digital (19, 57, 68)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(3171, 183, F3, 114) (dual of [183, 12, 115]-code) | [i] | Residual Code | |