Information on Result #609855
Linear OA(97, 6723, F9, 3) (dual of [6723, 6716, 4]-code or 6723-cap in PG(6,9)), 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(911, 1411830, F9, 3) (dual of [1411830, 1411819, 4]-code or 1411830-cap in PG(10,9)) | [i] | Product of Projective Cap with Cap in AG(4, b) | |
| 2 | Linear OA(912, 5580100, F9, 3) (dual of [5580100, 5580088, 4]-code or 5580100-cap in PG(11,9)) | [i] | Product of Projective Cap with Cap in AG(5, b) | |
| 3 | Linear OOA(97, 6723, F9, 2, 3) (dual of [(6723, 2), 13439, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 4 | Linear OOA(97, 6722, F9, 3, 3) (dual of [(6722, 3), 20159, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |