Information on Result #607022

Linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using extended Reed–Solomon code RSe(75,81)

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(914, 164, F9, 7) (dual of [164, 150, 8]-code) [i]Trace Code
2OA(2710, 82, S27, 7) [i]Discarding Parts of the Base for OAs
3Linear OA(8123, 182, F81, 15) (dual of [182, 159, 16]-code) [i](u, u+v)-Construction
4Linear OA(8136, 6644, F81, 15) (dual of [6644, 6608, 16]-code) [i]
5Linear OA(8150, 531524, F81, 15) (dual of [531524, 531474, 16]-code) [i]
6Linear OA(8122, 182, F81, 14) (dual of [182, 160, 15]-code) [i]
7Linear OA(8134, 6643, F81, 14) (dual of [6643, 6609, 15]-code) [i]
8Linear OA(8147, 531523, F81, 14) (dual of [531523, 531476, 15]-code) [i]
9Linear OA(8110, 164, F81, 7) (dual of [164, 154, 8]-code) [i]
10Linear OA(8136, 6645, F81, 15) (dual of [6645, 6609, 16]-code) [i]
11Linear OA(8150, 531526, F81, 15) (dual of [531526, 531476, 16]-code) [i]
12Linear OA(8134, 6645, F81, 14) (dual of [6645, 6611, 15]-code) [i]
13Linear OA(8147, 531526, F81, 14) (dual of [531526, 531479, 15]-code) [i]
14Linear OA(8116, 6642, F81, 7) (dual of [6642, 6626, 8]-code) [i]Generalized (u, u+v)-Construction
15Linear OA(8163, 6726, F81, 23) (dual of [6726, 6663, 24]-code) [i](u, u−v, u+v+w)-Construction
16Linear OA(8164, 6744, F81, 23) (dual of [6744, 6680, 24]-code) [i]
17Linear OA(8161, 6725, F81, 22) (dual of [6725, 6664, 23]-code) [i]
18Linear OA(8162, 6743, F81, 22) (dual of [6743, 6681, 23]-code) [i]
19Linear OA(8182, 531605, F81, 22) (dual of [531605, 531523, 23]-code) [i]
20Linear OA(8158, 6726, F81, 21) (dual of [6726, 6668, 22]-code) [i]
21Linear OA(8159, 6744, F81, 21) (dual of [6744, 6685, 22]-code) [i]
22Linear OA(8178, 531606, F81, 21) (dual of [531606, 531528, 22]-code) [i]
23Linear OA(8179, 531624, F81, 21) (dual of [531624, 531545, 22]-code) [i]
24Linear OA(8141, 6726, F81, 15) (dual of [6726, 6685, 16]-code) [i]
25Linear OA(8155, 531606, F81, 15) (dual of [531606, 531551, 16]-code) [i]
26Linear OA(8138, 6725, F81, 14) (dual of [6725, 6687, 15]-code) [i]
27Linear OA(8151, 531605, F81, 14) (dual of [531605, 531554, 15]-code) [i]
28Linear OA(8112, 246, F81, 7) (dual of [246, 234, 8]-code) [i]
29Linear OA(8112, 251, F81, 7) (dual of [251, 239, 8]-code) [i]VarÅ¡amov–Edel Lengthening