Information on Result #644196

Linear OA(850, 64, F8, 36) (dual of [64, 14, 37]-code), using algebraic-geometric code AG(F,27P) 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(853, 67, F8, 38) (dual of [67, 14, 39]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(855, 69, F8, 39) (dual of [69, 14, 40]-code) [i]✔
3Linear OA(852, 69, F8, 36) (dual of [69, 17, 37]-code) [i]✔
4Linear OA(857, 71, F8, 40) (dual of [71, 14, 41]-code) [i]✔
5Linear OA(853, 71, F8, 36) (dual of [71, 18, 37]-code) [i]✔
6Linear OA(859, 73, F8, 41) (dual of [73, 14, 42]-code) [i]✔
7Linear OA(862, 76, F8, 42) (dual of [76, 14, 43]-code) [i]✔
8Linear OA(856, 76, F8, 36) (dual of [76, 20, 37]-code) [i]✔
9Linear OA(864, 78, F8, 43) (dual of [78, 14, 44]-code) [i]✔
10Linear OA(857, 78, F8, 36) (dual of [78, 21, 37]-code) [i]✔
11Linear OA(867, 81, F8, 44) (dual of [81, 14, 45]-code) [i]✔
12Linear OA(859, 81, F8, 36) (dual of [81, 22, 37]-code) [i]✔
13Linear OA(870, 84, F8, 45) (dual of [84, 14, 46]-code) [i]✔
14Linear OA(861, 84, F8, 36) (dual of [84, 23, 37]-code) [i]✔
15Linear OA(872, 86, F8, 46) (dual of [86, 14, 47]-code) [i]✔
16Linear OA(862, 86, F8, 36) (dual of [86, 24, 37]-code) [i]✔
17Linear OA(863, 88, F8, 36) (dual of [88, 25, 37]-code) [i]✔
18Linear OA(865, 91, F8, 36) (dual of [91, 26, 37]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes