Information on Result #805198
Linear OOA(254, 626, F25, 2, 3) (dual of [(626, 2), 1248, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(254, 626, F25, 3) (dual of [626, 622, 4]-code or 626-cap in PG(3,25)), 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(2520, 8440, F25, 2, 6) (dual of [(8440, 2), 16860, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2525, 195940, F25, 2, 6) (dual of [(195940, 2), 391855, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(2530, 4194927, F25, 2, 6) (dual of [(4194927, 2), 8389824, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(2517, 628, F25, 2, 7) (dual of [(628, 2), 1239, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(2523, 8440, F25, 2, 7) (dual of [(8440, 2), 16857, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(2529, 195940, F25, 2, 7) (dual of [(195940, 2), 391851, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(2535, 4194927, F25, 2, 7) (dual of [(4194927, 2), 8389819, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(254, 626, F25, 3, 3) (dual of [(626, 3), 1874, 4]-NRT-code) | [i] | Appending kth Column | |