Information on Result #805221
Linear OOA(644, 4097, F64, 2, 3) (dual of [(4097, 2), 8190, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(644, 4097, F64, 3) (dual of [4097, 4093, 4]-code or 4097-cap in PG(3,64)), 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 | OOA(325, 4097, S32, 2, 3) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(6415, 4098, F64, 2, 6) (dual of [(4098, 2), 8181, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(6420, 135170, F64, 2, 6) (dual of [(135170, 2), 270320, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(6425, 4198398, F64, 2, 6) (dual of [(4198398, 2), 8396771, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(6412, 160, F64, 2, 7) (dual of [(160, 2), 308, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(6417, 4098, F64, 2, 7) (dual of [(4098, 2), 8179, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(6418, 4102, F64, 2, 7) (dual of [(4102, 2), 8186, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(6423, 135170, F64, 2, 7) (dual of [(135170, 2), 270317, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(6429, 4198398, F64, 2, 7) (dual of [(4198398, 2), 8396767, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(6418, 4190, F64, 2, 7) (dual of [(4190, 2), 8362, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(644, 4097, F64, 3, 3) (dual of [(4097, 3), 12287, 4]-NRT-code) | [i] | Appending kth Column | |