Information on Result #520931
There is no (120, 248, 254)-net in base 2, because extracting embedded orthogonal array would yield OA(2248, 254, S2, 128), but
- adding a parity check bit [i] would yield OA(2249, 255, S2, 129), but
- the (dual) Plotkin bound shows that M ≥ 14474 011154 664524 427946 373126 085988 481658 748083 205070 504932 198000 989141 204992 / 13 > 2249 [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 (120, 249, 254)-net in base 2 | [i] | m-Reduction | |
| 2 | No (120, 250, 254)-net in base 2 | [i] | ||
| 3 | No (120, 251, 254)-net in base 2 | [i] | ||
| 4 | No (120, 252, 254)-net in base 2 | [i] | ||
| 5 | No (120, 253, 254)-net in base 2 | [i] | ||
| 6 | No (120, 254, 254)-net in base 2 | [i] | ||
| 7 | No (120, 255, 254)-net in base 2 | [i] | ||
| 8 | No (120, 256, 254)-net in base 2 | [i] | ||
| 9 | No (120, 257, 254)-net in base 2 | [i] | ||
| 10 | No (120, 258, 254)-net in base 2 | [i] | ||
| 11 | No (120, 259, 254)-net in base 2 | [i] | ||
| 12 | No (120, 260, 254)-net in base 2 | [i] | ||