Information on Result #622230

Linear OA(912, 16, F9, 11) (dual of [16, 4, 12]-code), using extended algebraic-geometric code AGe(F,4P) based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(9108, 112, F9, 83) (dual of [112, 4, 84]-code) [i]Repeating Each Code Word
2Linear OA(9124, 128, F9, 95) (dual of [128, 4, 96]-code) [i]
3Linear OA(973, 746, F9, 23) (dual of [746, 673, 24]-code) [i](u, u+v)-Construction
4Linear OA(9113, 59066, F9, 23) (dual of [59066, 58953, 24]-code) [i]
5Linear OA(9133, 531458, F9, 23) (dual of [531458, 531325, 24]-code) [i]
6Linear OA(970, 745, F9, 22) (dual of [745, 675, 23]-code) [i]
7Linear OA(9108, 59065, F9, 22) (dual of [59065, 58957, 23]-code) [i]
8Linear OA(9127, 531457, F9, 22) (dual of [531457, 531330, 23]-code) [i]
9Linear OA(9146, 4782985, F9, 22) (dual of [4782985, 4782839, 23]-code) [i]
10Linear OA(9132, 144, F9, 95) (dual of [144, 12, 96]-code) [i]Generalized (u, u+v)-Construction
11Linear OA(9124, 135, F9, 89) (dual of [135, 11, 90]-code) [i]
12Linear OA(9121, 128, F9, 95) (dual of [128, 7, 96]-code) [i]
13Linear OA(9117, 128, F9, 83) (dual of [128, 11, 84]-code) [i]
14Linear OA(9115, 128, F9, 79) (dual of [128, 13, 80]-code) [i]
15Linear OA(9100, 112, F9, 69) (dual of [112, 12, 70]-code) [i]
16Linear OA(9105, 120, F9, 69) (dual of [120, 15, 70]-code) [i]
17Linear OA(9109, 128, F9, 69) (dual of [128, 19, 70]-code) [i]
18Linear OA(990, 105, F9, 59) (dual of [105, 15, 60]-code) [i]
19Linear OA(994, 98, F9, 83) (dual of [98, 4, 84]-code) [i]Juxtaposition
20Linear OA(9104, 108, F9, 90) (dual of [108, 4, 91]-code) [i]
21Linear OA(9109, 113, F9, 94) (dual of [113, 4, 95]-code) [i]
22Linear OA(9110, 114, F9, 95) (dual of [114, 4, 96]-code) [i]
23Linear OA(356, 64, F3, 35) (dual of [64, 8, 36]-code) [i]Concatenation of Two Codes
24Linear OOA(388, 48, F3, 2, 59) (dual of [(48, 2), 8, 60]-NRT-code) [i]Concatenation of Two NRT-Codes
25Linear OOA(384, 45, F3, 2, 59) (dual of [(45, 2), 6, 60]-NRT-code) [i]
26Linear OOA(3120, 64, F3, 2, 83) (dual of [(64, 2), 8, 84]-NRT-code) [i]
27Linear OOA(3114, 60, F3, 2, 83) (dual of [(60, 2), 6, 84]-NRT-code) [i]
28Linear OOA(3108, 56, F3, 2, 83) (dual of [(56, 2), 4, 84]-NRT-code) [i]
29Linear OA(9120, 59076, F9, 23) (dual of [59076, 58956, 24]-code) [i](u, u−v, u+v+w)-Construction
30Linear OA(985, 98, F9, 59) (dual of [98, 13, 60]-code) [i]Construction X with Cyclic Codes