Information on Result #644224

Linear OA(834, 64, F8, 20) (dual of [64, 30, 21]-code), using algebraic-geometric code AG(F,43P) 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(837, 67, F8, 22) (dual of [67, 30, 23]-code) [i]Construction X with Algebraic-Geometric Codes
2Linear OA(839, 69, F8, 23) (dual of [69, 30, 24]-code) [i]
3Linear OA(841, 71, F8, 24) (dual of [71, 30, 25]-code) [i]
4Linear OA(837, 71, F8, 20) (dual of [71, 34, 21]-code) [i]
5Linear OA(843, 73, F8, 25) (dual of [73, 30, 26]-code) [i]
6Linear OA(838, 73, F8, 20) (dual of [73, 35, 21]-code) [i]
7Linear OA(846, 76, F8, 26) (dual of [76, 30, 27]-code) [i]
8Linear OA(848, 78, F8, 27) (dual of [78, 30, 28]-code) [i]
9Linear OA(851, 81, F8, 28) (dual of [81, 30, 29]-code) [i]
10Linear OA(854, 84, F8, 29) (dual of [84, 30, 30]-code) [i]
11Linear OA(856, 86, F8, 30) (dual of [86, 30, 31]-code) [i]
12Linear OA(858, 88, F8, 31) (dual of [88, 30, 32]-code) [i]
13Linear OA(861, 91, F8, 32) (dual of [91, 30, 33]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
14Linear OA(859, 91, F8, 30) (dual of [91, 32, 31]-code) [i]