Information on Result #547922
There is no linear OA(4255, 261, F4, 192) (dual of [261, 6, 193]-code), because construction Y1 would yield
- linear OA(4254, 258, F4, 192) (dual of [258, 4, 193]-code), but
- linear OA(46, 261, F4, 3) (dual of [261, 255, 4]-code or 261-cap in PG(5,4)), 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 OA(4256, 262, F4, 193) (dual of [262, 6, 194]-code) | [i] | Truncation | |
| 2 | No linear OA(4257, 263, F4, 194) (dual of [263, 6, 195]-code) | [i] | ||
| 3 | No linear OA(4258, 264, F4, 195) (dual of [264, 6, 196]-code) | [i] | ||
| 4 | No linear OOA(4256, 261, F4, 2, 193) (dual of [(261, 2), 266, 194]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4257, 261, F4, 2, 194) (dual of [(261, 2), 265, 195]-NRT-code) | [i] | ||
| 6 | No linear OOA(4258, 261, F4, 2, 195) (dual of [(261, 2), 264, 196]-NRT-code) | [i] | ||
| 7 | No linear OOA(4259, 261, F4, 2, 196) (dual of [(261, 2), 263, 197]-NRT-code) | [i] | ||
| 8 | No linear OOA(4260, 261, F4, 2, 197) (dual of [(261, 2), 262, 198]-NRT-code) | [i] | ||
| 9 | No linear OOA(4255, 261, F4, 2, 192) (dual of [(261, 2), 267, 193]-NRT-code) | [i] | Depth Reduction | |
| 10 | No linear OOA(4255, 261, F4, 3, 192) (dual of [(261, 3), 528, 193]-NRT-code) | [i] | ||
| 11 | No digital (63, 255, 261)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |
| 12 | No linear OA(4256, 265, F4, 192) (dual of [265, 9, 193]-code) | [i] | Construction Y1 (Bound) | |