Information on Result #547999
There is no linear OA(8120, 260, F8, 102) (dual of [260, 140, 103]-code), because construction Y1 would yield
- OA(8119, 140, S8, 102), but
- 1 times truncation [i] 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]
- 1 times truncation [i] would yield OA(8118, 139, S8, 101), but
- linear OA(8140, 260, F8, 120) (dual of [260, 120, 121]-code), but
- residual code [i] would yield OA(820, 139, S8, 15), but
- 1 times truncation [i] would yield OA(819, 138, S8, 14), but
- the linear programming bound shows that M ≥ 411449 038157 955600 826236 928000 / 2 816739 543071 > 819 [i]
- 1 times truncation [i] would yield OA(819, 138, S8, 14), but
- residual code [i] would yield OA(820, 139, S8, 15), 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(8120, 260, F8, 2, 102) (dual of [(260, 2), 400, 103]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(8120, 260, F8, 3, 102) (dual of [(260, 3), 660, 103]-NRT-code) | [i] | ||
| 3 | No digital (18, 120, 260)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |