Information on Result #559195
There is no linear OOA(455, 67, F4, 2, 41) (dual of [(67, 2), 79, 42]-NRT-code), because 1 step m-reduction would yield linear OA(454, 67, F4, 40) (dual of [67, 13, 41]-code), but
- construction Y1 [i] would yield
- linear OA(453, 59, F4, 40) (dual of [59, 6, 41]-code), but
- residual code [i] would yield linear OA(413, 18, F4, 10) (dual of [18, 5, 11]-code), but
- “Liz†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(413, 18, F4, 10) (dual of [18, 5, 11]-code), but
- OA(413, 67, S4, 8), but
- the linear programming bound shows that M ≥ 921996 181504 / 13559 > 413 [i]
- linear OA(453, 59, F4, 40) (dual of [59, 6, 41]-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(455, 67, F4, 3, 41) (dual of [(67, 3), 146, 42]-NRT-code) | [i] | Depth Reduction | |