Information on Result #644189

Linear OA(854, 64, F8, 40) (dual of [64, 10, 41]-code), using algebraic-geometric code AG(F,23P) 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(857, 67, F8, 42) (dual of [67, 10, 43]-code) [i]Construction X with Algebraic-Geometric Codes
2Linear OA(855, 67, F8, 40) (dual of [67, 12, 41]-code) [i]
3Linear OA(856, 69, F8, 40) (dual of [69, 13, 41]-code) [i]
4Linear OA(857, 71, F8, 40) (dual of [71, 14, 41]-code) [i]
5Linear OA(858, 73, F8, 40) (dual of [73, 15, 41]-code) [i]
6Linear OA(866, 76, F8, 46) (dual of [76, 10, 47]-code) [i]
7Linear OA(860, 76, F8, 40) (dual of [76, 16, 41]-code) [i]
8Linear OA(868, 78, F8, 47) (dual of [78, 10, 48]-code) [i]
9Linear OA(861, 78, F8, 40) (dual of [78, 17, 41]-code) [i]
10Linear OA(871, 81, F8, 48) (dual of [81, 10, 49]-code) [i]
11Linear OA(863, 81, F8, 40) (dual of [81, 18, 41]-code) [i]
12Linear OA(865, 84, F8, 40) (dual of [84, 19, 41]-code) [i]
13Linear OA(866, 86, F8, 40) (dual of [86, 20, 41]-code) [i]
14Linear OA(867, 88, F8, 40) (dual of [88, 21, 41]-code) [i]
15Linear OA(869, 91, F8, 40) (dual of [91, 22, 41]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes