Information on Result #623039

Linear OA(2727, 52, F27, 24) (dual of [52, 25, 25]-code), using extended algebraic-geometric code AGe(F,27P) based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, 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(3133, 208, F3, 49) (dual of [208, 75, 50]-code) [i]Concatenation of Two Codes
2Linear OA(3132, 204, F3, 49) (dual of [204, 72, 50]-code) [i]
3Linear OA(3131, 200, F3, 49) (dual of [200, 69, 50]-code) [i]
4Linear OOA(3237, 156, F3, 2, 99) (dual of [(156, 2), 75, 100]-NRT-code) [i]Concatenation of Two NRT-Codes
5Linear OOA(3234, 153, F3, 2, 99) (dual of [(153, 2), 72, 100]-NRT-code) [i]
6Linear OOA(3231, 150, F3, 2, 99) (dual of [(150, 2), 69, 100]-NRT-code) [i]
7Linear OA(27100, 127, F27, 67) (dual of [127, 27, 68]-code) [i]Construction X with Algebraic-Geometric Codes
8Linear OA(2799, 127, F27, 66) (dual of [127, 28, 67]-code) [i]
9Linear OA(2798, 127, F27, 65) (dual of [127, 29, 66]-code) [i]
10Linear OA(2797, 127, F27, 64) (dual of [127, 30, 65]-code) [i]
11Linear OA(2796, 127, F27, 63) (dual of [127, 31, 64]-code) [i]
12Linear OA(2795, 127, F27, 62) (dual of [127, 32, 63]-code) [i]
13Linear OA(2794, 127, F27, 61) (dual of [127, 33, 62]-code) [i]
14Linear OA(2793, 127, F27, 60) (dual of [127, 34, 61]-code) [i]
15Linear OA(2792, 127, F27, 59) (dual of [127, 35, 60]-code) [i]
16Linear OA(2791, 127, F27, 58) (dual of [127, 36, 59]-code) [i]
17Linear OA(27106, 133, F27, 72) (dual of [133, 27, 73]-code) [i]
18Linear OA(27105, 133, F27, 71) (dual of [133, 28, 72]-code) [i]
19Linear OA(27104, 133, F27, 70) (dual of [133, 29, 71]-code) [i]
20Linear OA(27103, 133, F27, 69) (dual of [133, 30, 70]-code) [i]
21Linear OA(27102, 133, F27, 68) (dual of [133, 31, 69]-code) [i]
22Linear OA(27107, 135, F27, 72) (dual of [135, 28, 73]-code) [i]
23Linear OA(27106, 135, F27, 71) (dual of [135, 29, 72]-code) [i]
24Linear OA(27105, 135, F27, 70) (dual of [135, 30, 71]-code) [i]
25Linear OA(27104, 135, F27, 69) (dual of [135, 31, 70]-code) [i]
26Linear OA(27103, 135, F27, 68) (dual of [135, 32, 69]-code) [i]
27Linear OA(27110, 139, F27, 74) (dual of [139, 29, 75]-code) [i]
28Linear OA(27109, 139, F27, 73) (dual of [139, 30, 74]-code) [i]
29Linear OA(27108, 139, F27, 72) (dual of [139, 31, 73]-code) [i]
30Linear OA(27107, 139, F27, 71) (dual of [139, 32, 72]-code) [i]
31Linear OA(27106, 139, F27, 70) (dual of [139, 33, 71]-code) [i]
32Linear OA(27110, 145, F27, 73) (dual of [145, 35, 74]-code) [i]
33Linear OA(27109, 145, F27, 72) (dual of [145, 36, 73]-code) [i]
34Linear OA(27108, 145, F27, 71) (dual of [145, 37, 72]-code) [i]
35Linear OA(27107, 145, F27, 70) (dual of [145, 38, 71]-code) [i]
36Linear OA(2799, 145, F27, 62) (dual of [145, 46, 63]-code) [i]
37Linear OA(27110, 147, F27, 72) (dual of [147, 37, 73]-code) [i]
38Linear OA(27109, 147, F27, 71) (dual of [147, 38, 72]-code) [i]
39Linear OA(27108, 147, F27, 70) (dual of [147, 39, 71]-code) [i]