Information on Result #547479
There is no linear OA(4253, 360, F4, 184) (dual of [360, 107, 185]-code), because residual code would yield OA(469, 175, S4, 46), but
- the linear programming bound shows that M ≥ 672974 508783 713085 919446 392721 434812 374063 221813 152066 788676 290147 045574 983959 198536 005103 820640 027801 847804 723200 000000 / 1 829712 211075 097010 907956 226624 270704 376891 436886 295247 592787 694007 310519 329949 > 469 [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(4254, 361, F4, 185) (dual of [361, 107, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4255, 362, F4, 186) (dual of [362, 107, 187]-code) | [i] | ||
| 3 | No linear OA(4256, 363, F4, 187) (dual of [363, 107, 188]-code) | [i] | ||
| 4 | No linear OOA(4254, 360, F4, 2, 185) (dual of [(360, 2), 466, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4255, 360, F4, 2, 186) (dual of [(360, 2), 465, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4256, 360, F4, 2, 187) (dual of [(360, 2), 464, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4253, 360, F4, 2, 184) (dual of [(360, 2), 467, 185]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4253, 360, F4, 3, 184) (dual of [(360, 3), 827, 185]-NRT-code) | [i] | ||
| 9 | No digital (69, 253, 360)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |