Information on Result #522076
There is no (23, 242, 82)-net in base 4, because extracting embedded OOA would yield OOA(4242, 82, S4, 3, 219), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2896 982654 693240 790722 122229 248058 331734 699076 393093 227997 297658 532344 973624 742495 471644 063642 920549 236319 392080 665346 046975 721430 379528 764237 283328 / 55 > 4242 [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 (23, 243, 82)-net in base 4 | [i] | m-Reduction | |
| 2 | No (23, 244, 82)-net in base 4 | [i] | ||
| 3 | No (23, 245, 82)-net in base 4 | [i] | ||
| 4 | No (23, 246, 82)-net in base 4 | [i] | ||
| 5 | No (23, 247, 82)-net in base 4 | [i] | ||
| 6 | No (23, 248, 82)-net in base 4 | [i] | ||
| 7 | No (23, 249, 82)-net in base 4 | [i] | ||
| 8 | No (23, 250, 82)-net in base 4 | [i] | ||
| 9 | No (23, 251, 82)-net in base 4 | [i] | ||
| 10 | No (23, 252, 82)-net in base 4 | [i] | ||
| 11 | No (23, 253, 82)-net in base 4 | [i] | ||
| 12 | No (23, 254, 82)-net in base 4 | [i] | ||
| 13 | No (23, 255, 82)-net in base 4 | [i] | ||
| 14 | No (23, 256, 82)-net in base 4 | [i] | ||
| 15 | No (23, 257, 82)-net in base 4 | [i] | ||
| 16 | No (23, 258, 82)-net in base 4 | [i] | ||
| 17 | No (23, 259, 82)-net in base 4 | [i] | ||
| 18 | No (23, 260, 82)-net in base 4 | [i] | ||
| 19 | No (23, m, 82)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |