Information on Result #555975
There is no linear OOA(3105, 90, F3, 2, 78) (dual of [(90, 2), 75, 79]-NRT-code), because 24 step m-reduction would yield linear OA(381, 90, F3, 54) (dual of [90, 9, 55]-code), but
- residual code [i] would yield linear OA(327, 35, F3, 18) (dual of [35, 8, 19]-code), but
- residual code [i] would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
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(3105, 90, F3, 3, 78) (dual of [(90, 3), 165, 79]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3105, 90, F3, 4, 78) (dual of [(90, 4), 255, 79]-NRT-code) | [i] | ||
| 3 | No linear OOA(3105, 90, F3, 5, 78) (dual of [(90, 5), 345, 79]-NRT-code) | [i] | ||