Information on Result #658763

Linear OA(850, 64, F8, 37) (dual of [64, 14, 38]-code), using algebraic-geometric code AG(F,26P) 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(851, 65, F8, 38) (dual of [65, 14, 39]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(853, 67, F8, 39) (dual of [67, 14, 40]-code) [i]✔
3Linear OA(856, 70, F8, 41) (dual of [70, 14, 42]-code) [i]✔
4Linear OA(853, 70, F8, 37) (dual of [70, 17, 38]-code) [i]✔
5Linear OA(859, 73, F8, 42) (dual of [73, 14, 43]-code) [i]✔
6Linear OA(854, 72, F8, 37) (dual of [72, 18, 38]-code) [i]✔
7Linear OA(862, 76, F8, 43) (dual of [76, 14, 44]-code) [i]✔
8Linear OA(856, 75, F8, 37) (dual of [75, 19, 38]-code) [i]✔
9Linear OA(866, 80, F8, 45) (dual of [80, 14, 46]-code) [i]✔
10Linear OA(864, 78, F8, 44) (dual of [78, 14, 45]-code) [i]✔
11Linear OA(857, 77, F8, 37) (dual of [77, 20, 38]-code) [i]✔
12Linear OA(870, 84, F8, 47) (dual of [84, 14, 48]-code) [i]✔
13Linear OA(859, 80, F8, 37) (dual of [80, 21, 38]-code) [i]✔
14Linear OA(874, 88, F8, 50) (dual of [88, 14, 51]-code) [i]✔
15Linear OA(861, 83, F8, 37) (dual of [83, 22, 38]-code) [i]✔
16Linear OA(877, 91, F8, 51) (dual of [91, 14, 52]-code) [i]✔
17Linear OA(862, 85, F8, 37) (dual of [85, 23, 38]-code) [i]✔
18Linear OA(863, 87, F8, 37) (dual of [87, 24, 38]-code) [i]✔
19Linear OA(865, 90, F8, 37) (dual of [90, 25, 38]-code) [i]✔
20Linear OA(880, 94, F8, 52) (dual of [94, 14, 53]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
21Linear OA(875, 90, F8, 49) (dual of [90, 15, 50]-code) [i]✔
22Linear OA(876, 92, F8, 48) (dual of [92, 16, 49]-code) [i]✔
23Linear OA(880, 97, F8, 49) (dual of [97, 17, 50]-code) [i]✔
24Linear OA(868, 82, F8, 46) (dual of [82, 14, 47]-code) [i]✔
25Linear OA(876, 93, F8, 47) (dual of [93, 17, 48]-code) [i]✔
26Linear OA(865, 79, F8, 45) (dual of [79, 14, 46]-code) [i]✔
27Linear OA(868, 83, F8, 45) (dual of [83, 15, 46]-code) [i]✔
28Linear OA(864, 79, F8, 43) (dual of [79, 15, 44]-code) [i]✔
29Linear OA(866, 82, F8, 43) (dual of [82, 16, 44]-code) [i]✔
30Linear OA(855, 74, F8, 37) (dual of [74, 19, 38]-code) [i]✔
31Linear OA(858, 79, F8, 37) (dual of [79, 21, 38]-code) [i]✔
32Linear OA(860, 82, F8, 37) (dual of [82, 22, 38]-code) [i]✔
33Linear OA(864, 89, F8, 37) (dual of [89, 25, 38]-code) [i]✔
34Linear OA(866, 92, F8, 37) (dual of [92, 26, 38]-code) [i]✔