Information on Result #603143

Linear OA(93, 3, F9, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,9) or 3-cap in PG(2,9)), using complete OA / dual of code with only one code word

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:

ResultThis
result
only
Method
1Linear OA(990, 59064, F9, 17) (dual of [59064, 58974, 18]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(990, 59064, F9, 17) (dual of [59064, 58974, 18]-code) [i]
3Linear OA(990, 59064, F9, 17) (dual of [59064, 58974, 18]-code) [i]
4Linear OA(990, 59064, F9, 17) (dual of [59064, 58974, 18]-code) [i]
5Linear OA(9120, 4782984, F9, 17) (dual of [4782984, 4782864, 18]-code) [i]
6Linear OA(9120, 4782984, F9, 17) (dual of [4782984, 4782864, 18]-code) [i]
7Linear OA(9120, 4782984, F9, 17) (dual of [4782984, 4782864, 18]-code) [i]
8Linear OA(9120, 4782984, F9, 17) (dual of [4782984, 4782864, 18]-code) [i]
9Linear OA(972, 59061, F9, 14) (dual of [59061, 58989, 15]-code) [i]
10Linear OA(972, 59061, F9, 14) (dual of [59061, 58989, 15]-code) [i]
11Linear OA(972, 59061, F9, 14) (dual of [59061, 58989, 15]-code) [i]
12Linear OA(996, 4782981, F9, 14) (dual of [4782981, 4782885, 15]-code) [i]
13Linear OA(996, 4782981, F9, 14) (dual of [4782981, 4782885, 15]-code) [i]
14Linear OA(996, 4782981, F9, 14) (dual of [4782981, 4782885, 15]-code) [i]
15Linear OA(954, 59058, F9, 11) (dual of [59058, 59004, 12]-code) [i]
16Linear OA(954, 59058, F9, 11) (dual of [59058, 59004, 12]-code) [i]
17Linear OA(972, 4782978, F9, 11) (dual of [4782978, 4782906, 12]-code) [i]
18Linear OA(972, 4782978, F9, 11) (dual of [4782978, 4782906, 12]-code) [i]
19Linear OA(927, 735, F9, 8) (dual of [735, 708, 9]-code) [i](u, u−v, u+v+w)-Construction
20Linear OA(935, 13128, F9, 8) (dual of [13128, 13093, 9]-code) [i]
21Linear OA(941, 59055, F9, 8) (dual of [59055, 59014, 9]-code) [i]
22Linear OA(949, 1062888, F9, 8) (dual of [1062888, 1062839, 9]-code) [i]
23Linear OA(955, 4782975, F9, 8) (dual of [4782975, 4782920, 9]-code) [i]