Information on Result #622964

Linear OA(2714, 38, F27, 13) (dual of [38, 24, 14]-code), using extended algebraic-geometric code AGe(F,24P) based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using

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(2766, 766, F27, 27) (dual of [766, 700, 28]-code) [i](u, u+v)-Construction
2Linear OA(2792, 19720, F27, 27) (dual of [19720, 19628, 28]-code) [i]
3Linear OA(2765, 767, F27, 26) (dual of [767, 702, 27]-code) [i]
4Linear OA(2790, 19721, F27, 26) (dual of [19721, 19631, 27]-code) [i]
5Linear OA(380, 152, F3, 27) (dual of [152, 72, 28]-code) [i]Concatenation of Two Codes
6Linear OA(379, 148, F3, 27) (dual of [148, 69, 28]-code) [i]
7Linear OA(378, 144, F3, 27) (dual of [144, 66, 28]-code) [i]
8Linear OA(377, 140, F3, 27) (dual of [140, 63, 28]-code) [i]
9Linear OA(376, 136, F3, 27) (dual of [136, 60, 28]-code) [i]
10Linear OA(375, 132, F3, 27) (dual of [132, 57, 28]-code) [i]
11Linear OA(374, 128, F3, 27) (dual of [128, 54, 28]-code) [i]
12Linear OA(373, 124, F3, 27) (dual of [124, 51, 28]-code) [i]
13Linear OA(372, 120, F3, 27) (dual of [120, 48, 28]-code) [i]
14Linear OA(27108, 805, F27, 39) (dual of [805, 697, 40]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(27109, 815, F27, 39) (dual of [815, 706, 40]-code) [i]
16Linear OA(2775, 794, F27, 27) (dual of [794, 719, 28]-code) [i]
17Linear OA(2776, 804, F27, 27) (dual of [804, 728, 28]-code) [i]
18Linear OA(27101, 19748, F27, 27) (dual of [19748, 19647, 28]-code) [i]
19Linear OA(27102, 19758, F27, 27) (dual of [19758, 19656, 28]-code) [i]
20Linear OA(2773, 795, F27, 26) (dual of [795, 722, 27]-code) [i]
21Linear OA(2774, 805, F27, 26) (dual of [805, 731, 27]-code) [i]
22Linear OA(2798, 19749, F27, 26) (dual of [19749, 19651, 27]-code) [i]
23Linear OA(2799, 19759, F27, 26) (dual of [19759, 19660, 27]-code) [i]
24Linear OA(2790, 767, F27, 40) (dual of [767, 677, 41]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
25Linear OA(2788, 767, F27, 39) (dual of [767, 679, 40]-code) [i]
26Linear OA(2786, 767, F27, 38) (dual of [767, 681, 39]-code) [i]
27Linear OA(2784, 767, F27, 37) (dual of [767, 683, 38]-code) [i]
28Linear OA(2782, 767, F27, 36) (dual of [767, 685, 37]-code) [i]
29Linear OA(2780, 767, F27, 35) (dual of [767, 687, 36]-code) [i]
30Linear OA(2778, 767, F27, 34) (dual of [767, 689, 35]-code) [i]
31Linear OA(2776, 767, F27, 33) (dual of [767, 691, 34]-code) [i]
32Linear OA(2774, 767, F27, 32) (dual of [767, 693, 33]-code) [i]
33Linear OA(2772, 767, F27, 31) (dual of [767, 695, 32]-code) [i]
34Linear OA(2770, 767, F27, 30) (dual of [767, 697, 31]-code) [i]
35Linear OA(2768, 767, F27, 29) (dual of [767, 699, 30]-code) [i]