Information on Result #644217

Linear OA(839, 64, F8, 25) (dual of [64, 25, 26]-code), using algebraic-geometric code AG(F,38P) based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, 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(840, 67, F8, 25) (dual of [67, 27, 26]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(841, 69, F8, 25) (dual of [69, 28, 26]-code) [i]✔
3Linear OA(846, 71, F8, 29) (dual of [71, 25, 30]-code) [i]✔
4Linear OA(842, 71, F8, 25) (dual of [71, 29, 26]-code) [i]✔
5Linear OA(848, 73, F8, 30) (dual of [73, 25, 31]-code) [i]✔
6Linear OA(843, 73, F8, 25) (dual of [73, 30, 26]-code) [i]✔
7Linear OA(851, 76, F8, 31) (dual of [76, 25, 32]-code) [i]✔
8Linear OA(845, 76, F8, 25) (dual of [76, 31, 26]-code) [i]✔
9Linear OA(853, 78, F8, 32) (dual of [78, 25, 33]-code) [i]✔
10Linear OA(846, 78, F8, 25) (dual of [78, 32, 26]-code) [i]✔
11Linear OA(856, 81, F8, 33) (dual of [81, 25, 34]-code) [i]✔
12Linear OA(848, 81, F8, 25) (dual of [81, 33, 26]-code) [i]✔
13Linear OA(859, 84, F8, 34) (dual of [84, 25, 35]-code) [i]✔
14Linear OA(861, 86, F8, 35) (dual of [86, 25, 36]-code) [i]✔
15Linear OA(863, 88, F8, 36) (dual of [88, 25, 37]-code) [i]✔
16Linear OA(865, 90, F8, 37) (dual of [90, 25, 38]-code) [i]✔
17Linear OA(866, 91, F8, 37) (dual of [91, 25, 38]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
18Linear OA(864, 91, F8, 35) (dual of [91, 27, 36]-code) [i]✔
19Linear OA(868, 93, F8, 38) (dual of [93, 25, 39]-code) [i]✔
20Linear OA(867, 92, F8, 38) (dual of [92, 25, 39]-code) [i]✔
21Linear OA(864, 89, F8, 37) (dual of [89, 25, 38]-code) [i]✔
22Linear OA(866, 92, F8, 37) (dual of [92, 26, 38]-code) [i]✔