Information on Result #547998
There is no linear OA(8119, 267, F8, 101) (dual of [267, 148, 102]-code), because construction Y1 would yield
- OA(8118, 139, S8, 101), but
- the linear programming bound shows that M ≥ 86 122166 823419 594361 457243 405645 198855 851117 431259 906299 815036 071096 967116 729798 784443 354837 373006 252286 343831 710016 130244 411392 / 2218 870601 774953 928217 > 8118 [i]
- linear OA(8148, 267, F8, 128) (dual of [267, 119, 129]-code), but
- discarding factors / shortening the dual code would yield linear OA(8148, 229, F8, 128) (dual of [229, 81, 129]-code), but
- residual code [i] would yield OA(820, 100, S8, 16), but
- the linear programming bound shows that M ≥ 766 916854 670851 025894 998613 688320 / 621 810617 698353 > 820 [i]
- residual code [i] would yield OA(820, 100, S8, 16), but
- discarding factors / shortening the dual code would yield linear OA(8148, 229, F8, 128) (dual of [229, 81, 129]-code), but
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(8119, 267, F8, 2, 101) (dual of [(267, 2), 415, 102]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(8119, 267, F8, 3, 101) (dual of [(267, 3), 682, 102]-NRT-code) | [i] | ||
| 3 | No digital (18, 119, 267)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |