Information on Result #521929
There is no (16, 121, 63)-net in base 4, because extracting embedded OOA would yield OOA(4121, 63, S4, 2, 105), but
- the LP bound with quadratic polynomials shows that M ≥ 438 178072 065039 313736 657780 184243 791925 216006 425153 501614 158337 920569 704448 / 53 > 4121 [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 (16, 122, 63)-net in base 4 | [i] | m-Reduction | |
| 2 | No (16, 123, 63)-net in base 4 | [i] | ||
| 3 | No (16, 124, 63)-net in base 4 | [i] | ||
| 4 | No (16, 125, 63)-net in base 4 | [i] | ||
| 5 | No (16, 126, 63)-net in base 4 | [i] | ||
| 6 | No (16, 127, 63)-net in base 4 | [i] | ||
| 7 | No (16, 128, 63)-net in base 4 | [i] | ||
| 8 | No (16, 129, 63)-net in base 4 | [i] | ||
| 9 | No (16, 130, 63)-net in base 4 | [i] | ||
| 10 | No (16, 131, 63)-net in base 4 | [i] | ||
| 11 | No (16, 132, 63)-net in base 4 | [i] | ||
| 12 | No (16, 133, 63)-net in base 4 | [i] | ||
| 13 | No (16, 134, 63)-net in base 4 | [i] | ||
| 14 | No (16, 135, 63)-net in base 4 | [i] | ||
| 15 | No (16, 136, 63)-net in base 4 | [i] | ||
| 16 | No (16, 137, 63)-net in base 4 | [i] | ||
| 17 | No (16, 138, 63)-net in base 4 | [i] | ||
| 18 | No (16, 139, 63)-net in base 4 | [i] | ||
| 19 | No (16, 140, 63)-net in base 4 | [i] | ||
| 20 | No (16, 141, 63)-net in base 4 | [i] | ||
| 21 | No (16, 142, 63)-net in base 4 | [i] | ||
| 22 | No (16, 143, 63)-net in base 4 | [i] | ||
| 23 | No (16, 144, 63)-net in base 4 | [i] | ||
| 24 | No (16, 145, 63)-net in base 4 | [i] | ||
| 25 | No (16, 146, 63)-net in base 4 | [i] | ||
| 26 | No (16, 147, 63)-net in base 4 | [i] | ||
| 27 | No (16, 148, 63)-net in base 4 | [i] | ||
| 28 | No (16, 149, 63)-net in base 4 | [i] | ||
| 29 | No (16, 150, 63)-net in base 4 | [i] | ||
| 30 | No (16, 151, 63)-net in base 4 | [i] | ||
| 31 | No (16, 152, 63)-net in base 4 | [i] | ||
| 32 | No (16, 153, 63)-net in base 4 | [i] | ||
| 33 | No (16, 154, 63)-net in base 4 | [i] | ||
| 34 | No (16, 155, 63)-net in base 4 | [i] | ||
| 35 | No (16, 156, 63)-net in base 4 | [i] | ||
| 36 | No (16, 157, 63)-net in base 4 | [i] | ||
| 37 | No (16, 158, 63)-net in base 4 | [i] | ||
| 38 | No (16, 159, 63)-net in base 4 | [i] | ||
| 39 | No (16, 160, 63)-net in base 4 | [i] | ||
| 40 | No (16, 161, 63)-net in base 4 | [i] | ||
| 41 | No (16, 162, 63)-net in base 4 | [i] | ||
| 42 | No (16, 163, 63)-net in base 4 | [i] | ||
| 43 | No (16, 164, 63)-net in base 4 | [i] | ||
| 44 | No (16, 165, 63)-net in base 4 | [i] | ||
| 45 | No (16, 166, 63)-net in base 4 | [i] | ||
| 46 | No (16, 167, 63)-net in base 4 | [i] | ||
| 47 | No (16, 168, 63)-net in base 4 | [i] | ||
| 48 | No (16, 169, 63)-net in base 4 | [i] | ||
| 49 | No (16, 170, 63)-net in base 4 | [i] | ||
| 50 | No (16, 171, 63)-net in base 4 | [i] | ||
| 51 | No (16, 172, 63)-net in base 4 | [i] | ||
| 52 | No (16, 173, 63)-net in base 4 | [i] | ||
| 53 | No (16, 174, 63)-net in base 4 | [i] | ||
| 54 | No (16, 175, 63)-net in base 4 | [i] | ||