Information on Result #60540
There is no OA(555, 111, S5, 42), because the linear programming bound shows that M ≥ 160853 279936 737552 555198 128869 197813 289096 417064 664252 625210 703762 775947 531935 988567 594340 303445 331728 542422 687140 745313 253093 155785 813453 223742 630626 702521 112747 490406 036376 953125 / 536 589983 881878 199097 989987 030752 034222 690321 138323 583380 431752 510971 338373 024133 973551 937142 609922 974314 325056 884114 362477 705400 313499 352891 > 555
Mode: Bound.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(555, 111, S5, 2, 42) | [i] | Depth Reduction | |
| 2 | No OOA(555, 111, S5, 3, 42) | [i] | ||
| 3 | No (13, 55, 111)-net in base 5 | [i] | Extracting Embedded Orthogonal Array | |