Information on Result #605730

Linear OA(273, 4, F27, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,27) or 4-cap in PG(2,27)), using dual of repetition code with length 4

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(27109, 765, F27, 39) (dual of [765, 656, 40]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(2762, 749, F27, 22) (dual of [749, 687, 23]-code) [i]
3Linear OA(2783, 19703, F27, 22) (dual of [19703, 19620, 23]-code) [i]
4Linear OA(27104, 531461, F27, 22) (dual of [531461, 531357, 23]-code) [i]
5Linear OA(2750, 745, F27, 18) (dual of [745, 695, 19]-code) [i]
6Linear OA(2767, 19699, F27, 18) (dual of [19699, 19632, 19]-code) [i]
7Linear OA(2784, 531457, F27, 18) (dual of [531457, 531373, 19]-code) [i]
8Linear OA(2740, 19696, F27, 11) (dual of [19696, 19656, 12]-code) [i]
9Linear OA(2750, 531454, F27, 11) (dual of [531454, 531404, 12]-code) [i]
10Linear OA(2726, 737, F27, 10) (dual of [737, 711, 11]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(2735, 19691, F27, 10) (dual of [19691, 19656, 11]-code) [i]
12Linear OA(2744, 531449, F27, 10) (dual of [531449, 531405, 11]-code) [i]
13Linear OA(2710, 32, F27, 7) (dual of [32, 22, 8]-code) [i]Construction X with Cyclic Codes
14Linear OA(2716, 734, F27, 7) (dual of [734, 718, 8]-code) [i]
15Linear OA(2722, 19688, F27, 7) (dual of [19688, 19666, 8]-code) [i]
16Linear OA(2728, 531446, F27, 7) (dual of [531446, 531418, 8]-code) [i]
17Linear OA(2712, 32, F27, 9) (dual of [32, 20, 10]-code) [i]
18Linear OA(2787, 95, F27, 70) (dual of [95, 8, 71]-code) [i]
19Linear OA(2789, 95, F27, 73) (dual of [95, 6, 74]-code) [i]
20Linear OA(2790, 95, F27, 77) (dual of [95, 5, 78]-code) [i]
21Linear OA(27101, 108, F27, 83) (dual of [108, 7, 84]-code) [i]
22Linear OA(27102, 108, F27, 87) (dual of [108, 6, 88]-code) [i]
23Linear OA(27103, 108, F27, 91) (dual of [108, 5, 92]-code) [i]
24Linear OA(27104, 108, F27, 95) (dual of [108, 4, 96]-code) [i]
25Linear OA(27105, 108, F27, 99) (dual of [108, 3, 100]-code) [i]