Information on Result #805172
Linear OOA(85, 208, F8, 2, 3) (dual of [(208, 2), 411, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(85, 208, F8, 3) (dual of [208, 203, 4]-code or 208-cap in PG(4,8)), using
Mode: Constructive and 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 | Linear OOA(819, 320, F8, 2, 6) (dual of [(320, 2), 621, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(819, 260, F8, 2, 7) (dual of [(260, 2), 501, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(821, 320, F8, 2, 7) (dual of [(320, 2), 619, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(823, 390, F8, 2, 7) (dual of [(390, 2), 757, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(824, 468, F8, 2, 7) (dual of [(468, 2), 912, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(836, 16594, F8, 2, 7) (dual of [(16594, 2), 33152, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(848, 1048787, F8, 2, 7) (dual of [(1048787, 2), 2097526, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(823, 406, F8, 2, 7) (dual of [(406, 2), 789, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(822, 333, F8, 2, 7) (dual of [(333, 2), 644, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(820, 333, F8, 2, 6) (dual of [(333, 2), 646, 7]-NRT-code) | [i] | ||
| 11 | Linear OOA(85, 208, F8, 3, 3) (dual of [(208, 3), 619, 4]-NRT-code) | [i] | Appending kth Column | |