Information on Result #622991

Linear OA(2713, 48, F27, 11) (dual of [48, 35, 12]-code), using extended algebraic-geometric code AGe(F,36P) based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, 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(2740, 112, F27, 23) (dual of [112, 72, 24]-code) [i](u, u+v)-Construction
2Linear OA(2758, 778, F27, 23) (dual of [778, 720, 24]-code) [i]
3Linear OA(2780, 19732, F27, 23) (dual of [19732, 19652, 24]-code) [i]
4Linear OA(27102, 531490, F27, 23) (dual of [531490, 531388, 24]-code) [i]
5Linear OA(2739, 112, F27, 22) (dual of [112, 73, 23]-code) [i]
6Linear OA(2756, 777, F27, 22) (dual of [777, 721, 23]-code) [i]
7Linear OA(2777, 19731, F27, 22) (dual of [19731, 19654, 23]-code) [i]
8Linear OA(2798, 531489, F27, 22) (dual of [531489, 531391, 23]-code) [i]
9Linear OA(2758, 780, F27, 23) (dual of [780, 722, 24]-code) [i]
10Linear OA(2780, 19734, F27, 23) (dual of [19734, 19654, 24]-code) [i]
11Linear OA(2781, 19739, F27, 23) (dual of [19739, 19658, 24]-code) [i]
12Linear OA(2756, 780, F27, 22) (dual of [780, 724, 23]-code) [i]
13Linear OA(2777, 19734, F27, 22) (dual of [19734, 19657, 23]-code) [i]
14Linear OA(2798, 825, F27, 35) (dual of [825, 727, 36]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(2788, 19770, F27, 23) (dual of [19770, 19682, 24]-code) [i]
16Linear OA(27110, 531528, F27, 23) (dual of [531528, 531418, 24]-code) [i]
17Linear OA(27110, 19732, F27, 33) (dual of [19732, 19622, 34]-code) [i]Construction X with Cyclic Codes
18Linear OA(27104, 19732, F27, 31) (dual of [19732, 19628, 32]-code) [i]
19Linear OA(2798, 19732, F27, 29) (dual of [19732, 19634, 30]-code) [i]
20Linear OA(2792, 19732, F27, 27) (dual of [19732, 19640, 28]-code) [i]
21Linear OA(2786, 19732, F27, 25) (dual of [19732, 19646, 26]-code) [i]
22Linear OA(27110, 19729, F27, 34) (dual of [19729, 19619, 35]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
23Linear OA(27107, 19729, F27, 33) (dual of [19729, 19622, 34]-code) [i]
24Linear OA(27104, 19729, F27, 32) (dual of [19729, 19625, 33]-code) [i]
25Linear OA(27101, 19729, F27, 31) (dual of [19729, 19628, 32]-code) [i]
26Linear OA(2798, 19729, F27, 30) (dual of [19729, 19631, 31]-code) [i]
27Linear OA(2795, 19729, F27, 29) (dual of [19729, 19634, 30]-code) [i]
28Linear OA(2792, 19729, F27, 28) (dual of [19729, 19637, 29]-code) [i]
29Linear OA(2789, 19731, F27, 26) (dual of [19731, 19642, 27]-code) [i]
30Linear OA(2783, 19731, F27, 24) (dual of [19731, 19648, 25]-code) [i]