Information on Result #644206

Linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using algebraic-geometric code AG(F,33P) 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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(8108, 128, F8, 61) (dual of [128, 20, 62]-code) [i]Repeating Each Code Word
2Linear OA(847, 67, F8, 32) (dual of [67, 20, 33]-code) [i]Construction X with Algebraic-Geometric Codes
3Linear OA(845, 67, F8, 30) (dual of [67, 22, 31]-code) [i]
4Linear OA(849, 69, F8, 33) (dual of [69, 20, 34]-code) [i]
5Linear OA(846, 69, F8, 30) (dual of [69, 23, 31]-code) [i]
6Linear OA(851, 71, F8, 34) (dual of [71, 20, 35]-code) [i]
7Linear OA(847, 71, F8, 30) (dual of [71, 24, 31]-code) [i]
8Linear OA(853, 73, F8, 35) (dual of [73, 20, 36]-code) [i]
9Linear OA(848, 73, F8, 30) (dual of [73, 25, 31]-code) [i]
10Linear OA(856, 76, F8, 36) (dual of [76, 20, 37]-code) [i]
11Linear OA(850, 76, F8, 30) (dual of [76, 26, 31]-code) [i]
12Linear OA(858, 78, F8, 37) (dual of [78, 20, 38]-code) [i]
13Linear OA(851, 78, F8, 30) (dual of [78, 27, 31]-code) [i]
14Linear OA(861, 81, F8, 38) (dual of [81, 20, 39]-code) [i]
15Linear OA(853, 81, F8, 30) (dual of [81, 28, 31]-code) [i]
16Linear OA(864, 84, F8, 39) (dual of [84, 20, 40]-code) [i]
17Linear OA(855, 84, F8, 30) (dual of [84, 29, 31]-code) [i]
18Linear OA(866, 86, F8, 40) (dual of [86, 20, 41]-code) [i]
19Linear OA(856, 86, F8, 30) (dual of [86, 30, 31]-code) [i]
20Linear OA(868, 88, F8, 41) (dual of [88, 20, 42]-code) [i]
21Linear OA(857, 88, F8, 30) (dual of [88, 31, 31]-code) [i]
22Linear OA(857, 77, F8, 37) (dual of [77, 20, 38]-code) [i]
23Linear OA(860, 80, F8, 38) (dual of [80, 20, 39]-code) [i]
24Linear OA(863, 83, F8, 39) (dual of [83, 20, 40]-code) [i]
25Linear OA(866, 86, F8, 41) (dual of [86, 20, 42]-code) [i]
26Linear OA(870, 90, F8, 42) (dual of [90, 20, 43]-code) [i]
27Linear OA(871, 91, F8, 42) (dual of [91, 20, 43]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
28Linear OA(869, 91, F8, 40) (dual of [91, 22, 41]-code) [i]
29Linear OA(859, 91, F8, 30) (dual of [91, 32, 31]-code) [i]
30Linear OA(872, 92, F8, 43) (dual of [92, 20, 44]-code) [i]
31Linear OA(869, 89, F8, 42) (dual of [89, 20, 43]-code) [i]
32Linear OA(871, 92, F8, 42) (dual of [92, 21, 43]-code) [i]
33Linear OA(869, 91, F8, 41) (dual of [91, 22, 42]-code) [i]
34Linear OA(870, 93, F8, 40) (dual of [93, 23, 41]-code) [i]
35Linear OA(862, 82, F8, 39) (dual of [82, 20, 40]-code) [i]
36Linear OA(859, 79, F8, 38) (dual of [79, 20, 39]-code) [i]
37Linear OA(861, 82, F8, 38) (dual of [82, 21, 39]-code) [i]
38Linear OA(858, 79, F8, 37) (dual of [79, 21, 38]-code) [i]
39Linear OA(864, 84, F8, 40) (dual of [84, 20, 41]-code) [i]
40Linear OA(861, 81, F8, 39) (dual of [81, 20, 40]-code) [i]