Information on Result #547277
There is no linear OA(4202, 278, F4, 148) (dual of [278, 76, 149]-code), because residual code would yield OA(454, 129, S4, 37), but
- the linear programming bound shows that M ≥ 109 951098 397829 332336 284728 003022 152431 672399 031028 523197 768001 879521 814905 484058 086588 022784 000000 / 328974 594178 269164 864154 562133 043701 895580 669743 951599 524746 631921 > 454 [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(4203, 279, F4, 149) (dual of [279, 76, 150]-code) | [i] | Truncation | |
| 2 | No linear OA(4204, 280, F4, 150) (dual of [280, 76, 151]-code) | [i] | ||
| 3 | No linear OA(4205, 281, F4, 151) (dual of [281, 76, 152]-code) | [i] | ||
| 4 | No linear OOA(4203, 278, F4, 2, 149) (dual of [(278, 2), 353, 150]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4204, 278, F4, 2, 150) (dual of [(278, 2), 352, 151]-NRT-code) | [i] | ||
| 6 | No linear OOA(4205, 278, F4, 2, 151) (dual of [(278, 2), 351, 152]-NRT-code) | [i] | ||
| 7 | No linear OOA(4202, 278, F4, 2, 148) (dual of [(278, 2), 354, 149]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4202, 278, F4, 3, 148) (dual of [(278, 3), 632, 149]-NRT-code) | [i] | ||
| 9 | No digital (54, 202, 278)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |