Information on Result #556385
There is no linear OOA(3136, 90, F3, 2, 109) (dual of [(90, 2), 44, 110]-NRT-code), because 55 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(3136, 90, F3, 3, 109) (dual of [(90, 3), 134, 110]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3136, 90, F3, 4, 109) (dual of [(90, 4), 224, 110]-NRT-code) | [i] | ||
| 3 | No linear OOA(3136, 90, F3, 5, 109) (dual of [(90, 5), 314, 110]-NRT-code) | [i] | ||