Information on Result #547409
There is no linear OA(4237, 347, F4, 172) (dual of [347, 110, 173]-code), because residual code would yield OA(465, 174, S4, 43), but
- the linear programming bound shows that M ≥ 2 356982 708196 944001 632405 639197 943867 825680 395816 503599 985988 433957 852565 175436 909425 167874 773494 005760 / 1698 395268 555289 237515 503113 977957 762702 705839 816361 669722 314819 > 465 [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(4238, 348, F4, 173) (dual of [348, 110, 174]-code) | [i] | Truncation | |
| 2 | No linear OA(4239, 349, F4, 174) (dual of [349, 110, 175]-code) | [i] | ||
| 3 | No linear OA(4240, 350, F4, 175) (dual of [350, 110, 176]-code) | [i] | ||
| 4 | No linear OOA(4238, 347, F4, 2, 173) (dual of [(347, 2), 456, 174]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4239, 347, F4, 2, 174) (dual of [(347, 2), 455, 175]-NRT-code) | [i] | ||
| 6 | No linear OOA(4240, 347, F4, 2, 175) (dual of [(347, 2), 454, 176]-NRT-code) | [i] | ||
| 7 | No linear OOA(4237, 347, F4, 2, 172) (dual of [(347, 2), 457, 173]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4237, 347, F4, 3, 172) (dual of [(347, 3), 804, 173]-NRT-code) | [i] | ||
| 9 | No digital (65, 237, 347)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |