Information on Result #609793
Linear OA(815, 16318, F81, 3) (dual of [16318, 16313, 4]-code or 16318-cap in PG(4,81)), using large caps in PG(4, b)
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 OA(8124, 547760, F81, 7) (dual of [547760, 547736, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8124, 547762, F81, 7) (dual of [547762, 547738, 8]-code) | [i] | ||
| 3 | Linear OOA(815, 16318, F81, 2, 3) (dual of [(16318, 2), 32631, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 4 | Linear OOA(815, 16317, F81, 3, 3) (dual of [(16317, 3), 48946, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |