Information on Result #625126
Linear OA(416, 1850766, F4, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)), using product of projective cap with cap in AG(5, 4) based on linear OA(411, 15423, F4, 3) (dual of [15423, 15412, 4]-code or 15423-cap in PG(10,4)), 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 OA(418, large, F4, 3) (dual of [large, large−18, 4]-code) | [i] | Product of Projective Cap with (Hyper)oval | |
| 2 | Linear OOA(416, 1850766, F4, 2, 3) (dual of [(1850766, 2), 3701516, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 3 | Linear OOA(416, 1850765, F4, 3, 3) (dual of [(1850765, 3), 5552279, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |