Information on Result #625112

Linear OA(852, 64, F8, 39) (dual of [64, 12, 40]-code), using algebraic-geometric code AG(F,24P) with known gap numbers based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]

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(8116, 128, F8, 79) (dual of [128, 12, 80]-code) [i]Repeating Each Code Word
2Linear OA(854, 66, F8, 41) (dual of [66, 12, 42]-code) [i]✔Construction X with Algebraic-Geometric Codes
3Linear OA(852, 65, F8, 39) (dual of [65, 13, 40]-code) [i]✔
4Linear OA(857, 69, F8, 42) (dual of [69, 12, 43]-code) [i]✔
5Linear OA(853, 67, F8, 39) (dual of [67, 14, 40]-code) [i]✔
6Linear OA(855, 70, F8, 39) (dual of [70, 15, 40]-code) [i]✔
7Linear OA(856, 72, F8, 39) (dual of [72, 16, 40]-code) [i]✔
8Linear OA(866, 78, F8, 47) (dual of [78, 12, 48]-code) [i]✔
9Linear OA(858, 75, F8, 39) (dual of [75, 17, 40]-code) [i]✔
10Linear OA(872, 84, F8, 50) (dual of [84, 12, 51]-code) [i]✔
11Linear OA(869, 81, F8, 48) (dual of [81, 12, 49]-code) [i]✔
12Linear OA(859, 77, F8, 39) (dual of [77, 18, 40]-code) [i]✔
13Linear OA(874, 86, F8, 51) (dual of [86, 12, 52]-code) [i]✔
14Linear OA(861, 80, F8, 39) (dual of [80, 19, 40]-code) [i]✔
15Linear OA(882, 94, F8, 55) (dual of [94, 12, 56]-code) [i]✔
16Linear OA(880, 92, F8, 54) (dual of [92, 12, 55]-code) [i]✔
17Linear OA(878, 90, F8, 53) (dual of [90, 12, 54]-code) [i]✔
18Linear OA(876, 88, F8, 52) (dual of [88, 12, 53]-code) [i]✔
19Linear OA(863, 83, F8, 39) (dual of [83, 20, 40]-code) [i]✔
20Linear OA(864, 85, F8, 39) (dual of [85, 21, 40]-code) [i]✔
21Linear OA(865, 87, F8, 39) (dual of [87, 22, 40]-code) [i]✔
22Linear OA(867, 90, F8, 39) (dual of [90, 23, 40]-code) [i]✔
23Linear OA(881, 93, F8, 55) (dual of [93, 12, 56]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
24Linear OA(880, 92, F8, 55) (dual of [92, 12, 56]-code) [i]✔
25Linear OA(878, 90, F8, 54) (dual of [90, 12, 55]-code) [i]✔
26Linear OA(871, 83, F8, 50) (dual of [83, 12, 51]-code) [i]✔
27Linear OA(868, 80, F8, 48) (dual of [80, 12, 49]-code) [i]✔
28Linear OA(878, 93, F8, 50) (dual of [93, 15, 51]-code) [i]✔
29Linear OA(866, 79, F8, 46) (dual of [79, 13, 47]-code) [i]✔
30Linear OA(857, 74, F8, 39) (dual of [74, 17, 40]-code) [i]✔
31Linear OA(860, 79, F8, 39) (dual of [79, 19, 40]-code) [i]✔
32Linear OA(862, 82, F8, 39) (dual of [82, 20, 40]-code) [i]✔
33Linear OA(866, 89, F8, 39) (dual of [89, 23, 40]-code) [i]✔
34Linear OA(868, 92, F8, 39) (dual of [92, 24, 40]-code) [i]✔
35Linear OA(861, 81, F8, 39) (dual of [81, 20, 40]-code) [i]✔
36Linear OOA(852, 32, F8, 2, 39) (dual of [(32, 2), 12, 40]-NRT-code) [i]OOA Folding