Information on Result #560199
There is no linear OOA(4184, 201, F4, 2, 138) (dual of [(201, 2), 218, 139]-NRT-code), because 2 step m-reduction would yield linear OA(4182, 201, F4, 136) (dual of [201, 19, 137]-code), but
- construction Y1 [i] would yield
- linear OA(4181, 191, F4, 136) (dual of [191, 10, 137]-code), but
- residual code [i] would yield linear OA(445, 54, F4, 34) (dual of [54, 9, 35]-code), but
- “Gur†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(445, 54, F4, 34) (dual of [54, 9, 35]-code), but
- OA(419, 201, S4, 10), but
- discarding factors would yield OA(419, 171, S4, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 281922 389596 > 419 [i]
- discarding factors would yield OA(419, 171, S4, 10), but
- linear OA(4181, 191, F4, 136) (dual of [191, 10, 137]-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(4184, 201, F4, 3, 138) (dual of [(201, 3), 419, 139]-NRT-code) | [i] | Depth Reduction | |