Information on Result #805133
Linear OOA(45, 41, F4, 2, 3) (dual of [(41, 2), 77, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(415, 52, F4, 2, 6) (dual of [(52, 2), 89, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(416, 68, F4, 2, 6) (dual of [(68, 2), 120, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(454, 4194342, F4, 2, 6) (dual of [(4194342, 2), 8388630, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(419, 68, F4, 2, 7) (dual of [(68, 2), 117, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(466, 4194342, F4, 2, 7) (dual of [(4194342, 2), 8388618, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(420, 80, F4, 2, 7) (dual of [(80, 2), 140, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(45, 41, F4, 3, 3) (dual of [(41, 3), 118, 4]-NRT-code) | [i] | Appending kth Column | |