Information on Result #609850
Linear OA(87, 4224, F8, 3) (dual of [4224, 4217, 4]-code or 4224-cap in PG(6,8)), using product of two caps with tangent hyperplane
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(811, 878592, F8, 3) (dual of [878592, 878581, 4]-code or 878592-cap in PG(10,8)) | [i] | Product of Projective Cap with Cap in AG(4, b) | |
| 2 | Linear OA(812, 2931457, F8, 3) (dual of [2931457, 2931445, 4]-code or 2931457-cap in PG(11,8)) | [i] | Product of Projective Cap with Cap in AG(5, b) | |
| 3 | Linear OOA(87, 4224, F8, 2, 3) (dual of [(4224, 2), 8441, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 4 | Linear OOA(87, 4223, F8, 3, 3) (dual of [(4223, 3), 12662, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |