Information on Result #522350
There is no (51, 215, 219)-net in base 4, because extracting embedded orthogonal array would yield OA(4215, 219, S4, 164), but
- the (dual) Plotkin bound shows that M ≥ 177450 860423 732151 013018 507785 157357 019931 972824 052260 810910 693159 335763 699560 039874 558361 990664 932998 233037 501529 828597 054346 100736 / 55 > 4215 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (51, 216, 219)-net in base 4 | [i] | m-Reduction | |
| 2 | No (51, 217, 219)-net in base 4 | [i] | ||
| 3 | No (51, 218, 219)-net in base 4 | [i] | ||
| 4 | No (51, 219, 219)-net in base 4 | [i] | ||
| 5 | No (51, 220, 219)-net in base 4 | [i] | ||
| 6 | No (51, 221, 219)-net in base 4 | [i] | ||
| 7 | No (51, 222, 219)-net in base 4 | [i] | ||
| 8 | No (51, 223, 219)-net in base 4 | [i] | ||
| 9 | No (51, 224, 219)-net in base 4 | [i] | ||
| 10 | No (51, 225, 219)-net in base 4 | [i] | ||
| 11 | No (51, 226, 219)-net in base 4 | [i] | ||
| 12 | No (51, 227, 219)-net in base 4 | [i] | ||
| 13 | No (51, 228, 219)-net in base 4 | [i] | ||
| 14 | No (51, 229, 219)-net in base 4 | [i] | ||
| 15 | No (51, 230, 219)-net in base 4 | [i] | ||
| 16 | No (51, 231, 219)-net in base 4 | [i] | ||
| 17 | No (51, 232, 219)-net in base 4 | [i] | ||
| 18 | No (51, 233, 219)-net in base 4 | [i] | ||
| 19 | No (51, 234, 219)-net in base 4 | [i] | ||
| 20 | No (51, 235, 219)-net in base 4 | [i] | ||
| 21 | No (51, 236, 219)-net in base 4 | [i] | ||
| 22 | No (51, 237, 219)-net in base 4 | [i] | ||
| 23 | No (51, 238, 219)-net in base 4 | [i] | ||
| 24 | No (51, 239, 219)-net in base 4 | [i] | ||
| 25 | No (51, 240, 219)-net in base 4 | [i] | ||
| 26 | No (51, 241, 219)-net in base 4 | [i] | ||
| 27 | No (51, 242, 219)-net in base 4 | [i] | ||
| 28 | No (51, 243, 219)-net in base 4 | [i] | ||
| 29 | No (51, 244, 219)-net in base 4 | [i] | ||
| 30 | No (51, 245, 219)-net in base 4 | [i] | ||
| 31 | No (51, 246, 219)-net in base 4 | [i] | ||
| 32 | No (51, 247, 219)-net in base 4 | [i] | ||
| 33 | No (51, 248, 219)-net in base 4 | [i] | ||
| 34 | No (51, 249, 219)-net in base 4 | [i] | ||
| 35 | No (51, 250, 219)-net in base 4 | [i] | ||
| 36 | No (51, 251, 219)-net in base 4 | [i] | ||
| 37 | No (51, 252, 219)-net in base 4 | [i] | ||
| 38 | No (51, 253, 219)-net in base 4 | [i] | ||
| 39 | No (51, 254, 219)-net in base 4 | [i] | ||
| 40 | No (51, 255, 219)-net in base 4 | [i] | ||
| 41 | No (51, 256, 219)-net in base 4 | [i] | ||
| 42 | No (51, 257, 219)-net in base 4 | [i] | ||
| 43 | No (51, 258, 219)-net in base 4 | [i] | ||
| 44 | No (51, 259, 219)-net in base 4 | [i] | ||
| 45 | No (51, 260, 219)-net in base 4 | [i] | ||