Information on Result #609822
Linear OA(411, 15423, F4, 3) (dual of [15423, 15412, 4]-code or 15423-cap in PG(10,4)), using caps completed using a computer search
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(413, 92538, F4, 3) (dual of [92538, 92525, 4]-code or 92538-cap in PG(12,4)) | [i] | Product of Projective Cap with (Hyper)oval | |
| 2 | Linear OA(415, 616920, F4, 3) (dual of [616920, 616905, 4]-code or 616920-cap in PG(14,4)) | [i] | Product of Projective Cap with Cap in AG(4, b) | |
| 3 | Linear OA(416, 1850766, F4, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)) | [i] | Product of Projective Cap with Cap in AG(5, b) | |
| 4 | Linear OA(417, 4179650, F4, 3) (dual of [4179650, 4179633, 4]-code or 4179650-cap in PG(16,4)) | [i] | Product of Projective Cap with Cap in AG(6, b) | |
| 5 | Linear OOA(411, 15423, F4, 2, 3) (dual of [(15423, 2), 30835, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 6 | Linear OOA(411, 15422, F4, 3, 3) (dual of [(15422, 3), 46255, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |