Information on Result #524320
There is no linear OA(399, 105, F3, 67) (dual of [105, 6, 68]-code), because the linear programming bound with additional constraints on the weights
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(3100, 106, F3, 68) (dual of [106, 6, 69]-code) | [i] | Truncation | |
| 2 | No linear OA(3101, 107, F3, 69) (dual of [107, 6, 70]-code) | [i] | ||
| 3 | No linear OA(3102, 108, F3, 70) (dual of [108, 6, 71]-code) | [i] | ||
| 4 | No linear OA(3103, 109, F3, 71) (dual of [109, 6, 72]-code) | [i] | ||
| 5 | No linear OOA(399, 105, F3, 2, 67) (dual of [(105, 2), 111, 68]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(399, 105, F3, 3, 67) (dual of [(105, 3), 216, 68]-NRT-code) | [i] | ||
| 7 | No linear OOA(399, 105, F3, 4, 67) (dual of [(105, 4), 321, 68]-NRT-code) | [i] | ||
| 8 | No linear OOA(399, 105, F3, 5, 67) (dual of [(105, 5), 426, 68]-NRT-code) | [i] | ||