Information on Result #623091

Linear OA(2742, 64, F27, 38) (dual of [64, 22, 39]-code), using extended algebraic-geometric code AGe(F,25P) based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, 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(27106, 128, F27, 77) (dual of [128, 22, 78]-code) [i]Repeating Each Code Word
2Linear OA(27105, 126, F27, 77) (dual of [126, 21, 78]-code) [i]
3Linear OA(27104, 124, F27, 77) (dual of [124, 20, 78]-code) [i]
4Linear OA(27103, 122, F27, 77) (dual of [122, 19, 78]-code) [i]
5Linear OA(27102, 120, F27, 77) (dual of [120, 18, 78]-code) [i]
6Linear OA(27101, 118, F27, 77) (dual of [118, 17, 78]-code) [i]
7Linear OA(27100, 116, F27, 77) (dual of [116, 16, 78]-code) [i]
8Linear OA(2799, 114, F27, 77) (dual of [114, 15, 78]-code) [i]
9Linear OA(2798, 112, F27, 77) (dual of [112, 14, 78]-code) [i]
10Linear OA(2765, 128, F27, 38) (dual of [128, 63, 39]-code) [i](u, u+v)-Construction
11Linear OA(27110, 132, F27, 80) (dual of [132, 22, 81]-code) [i]Juxtaposition
12Linear OA(27110, 131, F27, 81) (dual of [131, 21, 82]-code) [i]
13Linear OA(3190, 256, F3, 77) (dual of [256, 66, 78]-code) [i]Concatenation of Two Codes
14Linear OA(3189, 252, F3, 77) (dual of [252, 63, 78]-code) [i]
15Linear OA(3188, 248, F3, 77) (dual of [248, 60, 78]-code) [i]
16Linear OA(3187, 244, F3, 77) (dual of [244, 57, 78]-code) [i]
17Linear OA(3186, 240, F3, 77) (dual of [240, 54, 78]-code) [i]
18Linear OA(3185, 236, F3, 77) (dual of [236, 51, 78]-code) [i]
19Linear OA(3184, 232, F3, 77) (dual of [232, 48, 78]-code) [i]
20Linear OA(3183, 228, F3, 77) (dual of [228, 45, 78]-code) [i]
21Linear OA(3182, 224, F3, 77) (dual of [224, 42, 78]-code) [i]
22Linear OA(3181, 220, F3, 77) (dual of [220, 39, 78]-code) [i]
23Linear OOA(2742, 32, F27, 2, 38) (dual of [(32, 2), 22, 39]-NRT-code) [i]OOA Folding