Information on Result #547136
There is no linear OA(4145, 260, F4, 104) (dual of [260, 115, 105]-code), because residual code would yield OA(441, 155, S4, 26), but
- the linear programming bound shows that M ≥ 552818 318951 874532 269123 698121 730294 556917 760000 / 109558 651860 901659 660161 > 441 [i]
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(4146, 261, F4, 105) (dual of [261, 115, 106]-code) | [i] | Truncation | |
| 2 | No linear OA(4147, 262, F4, 106) (dual of [262, 115, 107]-code) | [i] | ||
| 3 | No linear OA(4148, 263, F4, 107) (dual of [263, 115, 108]-code) | [i] | ||
| 4 | No linear OOA(4146, 260, F4, 2, 105) (dual of [(260, 2), 374, 106]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4147, 260, F4, 2, 106) (dual of [(260, 2), 373, 107]-NRT-code) | [i] | ||
| 6 | No linear OOA(4148, 260, F4, 2, 107) (dual of [(260, 2), 372, 108]-NRT-code) | [i] | ||
| 7 | No linear OOA(4145, 260, F4, 2, 104) (dual of [(260, 2), 375, 105]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4145, 260, F4, 3, 104) (dual of [(260, 3), 635, 105]-NRT-code) | [i] | ||
| 9 | No digital (41, 145, 260)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |