Information on Result #609765

Linear OA(813, 82, F81, 3) (dual of [82, 79, 4]-code or 82-arc in PG(2,81) or 82-cap in PG(2,81)), using oval in PG(2, 81)

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(8110, 164, F81, 7) (dual of [164, 154, 8]-code) [i](u, u+v)-Construction
2Linear OA(8111, 182, F81, 7) (dual of [182, 171, 8]-code) [i]
3Linear OA(8116, 6644, F81, 7) (dual of [6644, 6628, 8]-code) [i]
4Linear OA(8122, 531524, F81, 7) (dual of [531524, 531502, 8]-code) [i]
5Linear OA(8114, 6643, F81, 6) (dual of [6643, 6629, 7]-code) [i]
6Linear OA(8119, 531523, F81, 6) (dual of [531523, 531504, 7]-code) [i]
7Linear OA(8116, 6645, F81, 7) (dual of [6645, 6629, 8]-code) [i]
8Linear OA(8122, 531526, F81, 7) (dual of [531526, 531504, 8]-code) [i]
9Linear OA(8114, 6645, F81, 6) (dual of [6645, 6631, 7]-code) [i]
10Linear OA(8119, 531526, F81, 6) (dual of [531526, 531507, 7]-code) [i]
11Linear OA(8129, 6642, F81, 11) (dual of [6642, 6613, 12]-code) [i]Generalized (u, u+v)-Construction
12Linear OA(8123, 6642, F81, 9) (dual of [6642, 6619, 10]-code) [i]
13Linear OA(8116, 6642, F81, 7) (dual of [6642, 6626, 8]-code) [i]
14Linear OA(8117, 6660, F81, 7) (dual of [6660, 6643, 8]-code) [i]
15Linear OA(8114, 6642, F81, 6) (dual of [6642, 6628, 7]-code) [i]
16Linear OA(8115, 6660, F81, 6) (dual of [6660, 6645, 7]-code) [i]
17Linear OA(8129, 6726, F81, 11) (dual of [6726, 6697, 12]-code) [i](u, u−v, u+v+w)-Construction
18Linear OA(8139, 531606, F81, 11) (dual of [531606, 531567, 12]-code) [i]
19Linear OA(8140, 531624, F81, 11) (dual of [531624, 531584, 12]-code) [i]
20Linear OA(8136, 531605, F81, 10) (dual of [531605, 531569, 11]-code) [i]
21Linear OA(8132, 531606, F81, 9) (dual of [531606, 531574, 10]-code) [i]
22Linear OA(8112, 246, F81, 7) (dual of [246, 234, 8]-code) [i]
23Linear OA(8118, 6726, F81, 7) (dual of [6726, 6708, 8]-code) [i]
24Linear OA(8124, 531606, F81, 7) (dual of [531606, 531582, 8]-code) [i]