Information on Result #557071
There is no linear OOA(3182, 192, F3, 2, 122) (dual of [(192, 2), 202, 123]-NRT-code), because 2 step m-reduction would yield linear OA(3180, 192, F3, 120) (dual of [192, 12, 121]-code), but
- residual code [i] would yield linear OA(360, 71, F3, 40) (dual of [71, 11, 41]-code), but
- “Gur†bound on codes from Brouwer’s database [i]
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(3182, 192, F3, 3, 122) (dual of [(192, 3), 394, 123]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3182, 192, F3, 4, 122) (dual of [(192, 4), 586, 123]-NRT-code) | [i] | ||
| 3 | No linear OOA(3182, 192, F3, 5, 122) (dual of [(192, 5), 778, 123]-NRT-code) | [i] | ||