Information on Result #644165

Linear OA(833, 44, F8, 24) (dual of [44, 11, 25]-code), using algebraic-geometric code AG(F,19P) based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, 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(877, 88, F8, 49) (dual of [88, 11, 50]-code) [i]Repeating Each Code Word
2Linear OA(8121, 132, F8, 74) (dual of [132, 11, 75]-code) [i]
3Linear OA(876, 86, F8, 49) (dual of [86, 10, 50]-code) [i]
4Linear OA(8119, 129, F8, 74) (dual of [129, 10, 75]-code) [i]
5Linear OA(875, 84, F8, 49) (dual of [84, 9, 50]-code) [i]
6Linear OA(874, 82, F8, 49) (dual of [82, 8, 50]-code) [i]
7Linear OA(898, 107, F8, 71) (dual of [107, 9, 72]-code) [i]Juxtaposition
8Linear OOA(2231, 132, F2, 2, 99) (dual of [(132, 2), 33, 100]-NRT-code) [i]Concatenation of Two NRT-Codes
9Linear OOA(2228, 129, F2, 2, 99) (dual of [(129, 2), 30, 100]-NRT-code) [i]
10Linear OOA(2225, 126, F2, 2, 99) (dual of [(126, 2), 27, 100]-NRT-code) [i]
11Linear OOA(2231, 88, F2, 3, 99) (dual of [(88, 3), 33, 100]-NRT-code) [i]
12Linear OOA(2228, 86, F2, 3, 99) (dual of [(86, 3), 30, 100]-NRT-code) [i]
13Linear OOA(2225, 84, F2, 3, 99) (dual of [(84, 3), 27, 100]-NRT-code) [i]
14Linear OA(836, 47, F8, 26) (dual of [47, 11, 27]-code) [i]✔Construction X with Algebraic-Geometric Codes
15Linear OA(834, 47, F8, 24) (dual of [47, 13, 25]-code) [i]✔
16Linear OA(838, 49, F8, 27) (dual of [49, 11, 28]-code) [i]✔
17Linear OA(835, 49, F8, 24) (dual of [49, 14, 25]-code) [i]✔
18Linear OOA(833, 22, F8, 2, 24) (dual of [(22, 2), 11, 25]-NRT-code) [i]OOA Folding