Information on Result #609789
Linear OA(275, 1708, F27, 3) (dual of [1708, 1703, 4]-code or 1708-cap in PG(4,27)), 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(2724, 21392, F27, 7) (dual of [21392, 21368, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2730, 533150, F27, 7) (dual of [533150, 533120, 8]-code) | [i] | ||
| 3 | Linear OA(2724, 21394, F27, 7) (dual of [21394, 21370, 8]-code) | [i] | ||
| 4 | Linear OA(2730, 533153, F27, 7) (dual of [533153, 533123, 8]-code) | [i] | ||
| 5 | Linear OA(278, 1245133, F27, 3) (dual of [1245133, 1245125, 4]-code or 1245133-cap in PG(7,27)) | [i] | Product of Projective Cap with b2-Ovoid Cap in AG(3, b) | |
| 6 | Linear OOA(275, 1708, F27, 2, 3) (dual of [(1708, 2), 3411, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |