Information on Result #606182

Linear OA(1282, 3, F128, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,128)), using dual of repetition code with length 3

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(12819, 384, F128, 11) (dual of [384, 365, 12]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(12819, 384, F128, 11) (dual of [384, 365, 12]-code) [i]
3Linear OA(12816, 384, F128, 9) (dual of [384, 368, 10]-code) [i]
4Linear OA(12814, 384, F128, 8) (dual of [384, 370, 9]-code) [i]
5Linear OA(12814, 384, F128, 8) (dual of [384, 370, 9]-code) [i]
6Linear OA(12812, 384, F128, 7) (dual of [384, 372, 8]-code) [i]
7Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) [i]
8Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) [i]
9Linear OA(12856, 16402, F128, 20) (dual of [16402, 16346, 21]-code) [i]
10Linear OA(12875, 2097170, F128, 20) (dual of [2097170, 2097095, 21]-code) [i]
11Linear OA(12845, 16399, F128, 16) (dual of [16399, 16354, 17]-code) [i]
12Linear OA(12860, 2097167, F128, 16) (dual of [2097167, 2097107, 17]-code) [i]
13Linear OA(12838, 16396, F128, 14) (dual of [16396, 16358, 15]-code) [i]
14Linear OA(12851, 2097164, F128, 14) (dual of [2097164, 2097113, 15]-code) [i]
15Linear OA(12836, 2097161, F128, 10) (dual of [2097161, 2097125, 11]-code) [i]
16Linear OA(12827, 2097158, F128, 8) (dual of [2097158, 2097131, 9]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(12811, 16388, F128, 5) (dual of [16388, 16377, 6]-code) [i]Construction X with Cyclic Codes
18Linear OA(12815, 2097156, F128, 5) (dual of [2097156, 2097141, 6]-code) [i]
19Linear OA(1289, 132, F128, 7) (dual of [132, 123, 8]-code) [i]
20Linear OA(12815, 16388, F128, 7) (dual of [16388, 16373, 8]-code) [i]
21Linear OA(12821, 2097156, F128, 7) (dual of [2097156, 2097135, 8]-code) [i]