Information on Result #547432
There is no linear OA(4242, 347, F4, 176) (dual of [347, 105, 177]-code), because residual code would yield OA(466, 170, S4, 44), but
- the linear programming bound shows that M ≥ 1976 506064 459033 075362 451713 190875 400705 748869 321511 254504 692102 419708 690447 989326 466803 280840 783010 320768 871264 419840 000000 / 348910 981362 978418 180472 516419 977086 112239 745527 698751 797516 935464 412701 432423 842977 > 466 [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(4243, 348, F4, 177) (dual of [348, 105, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4244, 349, F4, 178) (dual of [349, 105, 179]-code) | [i] | ||
| 3 | No linear OA(4245, 350, F4, 179) (dual of [350, 105, 180]-code) | [i] | ||
| 4 | No linear OOA(4243, 347, F4, 2, 177) (dual of [(347, 2), 451, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4244, 347, F4, 2, 178) (dual of [(347, 2), 450, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4245, 347, F4, 2, 179) (dual of [(347, 2), 449, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4242, 347, F4, 2, 176) (dual of [(347, 2), 452, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4242, 347, F4, 3, 176) (dual of [(347, 3), 799, 177]-NRT-code) | [i] | ||
| 9 | No digital (66, 242, 347)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |