Information on Result #658761

Linear OA(851, 64, F8, 38) (dual of [64, 13, 39]-code), using algebraic-geometric code AG(F,25P) 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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(8115, 128, F8, 77) (dual of [128, 13, 78]-code) [i]Repeating Each Code Word
2Linear OA(852, 65, F8, 39) (dual of [65, 13, 40]-code) [i]Construction X with Algebraic-Geometric Codes
3Linear OA(851, 65, F8, 38) (dual of [65, 14, 39]-code) [i]
4Linear OA(855, 68, F8, 41) (dual of [68, 13, 42]-code) [i]
5Linear OA(853, 68, F8, 38) (dual of [68, 15, 39]-code) [i]
6Linear OA(858, 71, F8, 42) (dual of [71, 13, 43]-code) [i]
7Linear OA(854, 70, F8, 38) (dual of [70, 16, 39]-code) [i]
8Linear OA(860, 73, F8, 43) (dual of [73, 13, 44]-code) [i]
9Linear OA(855, 72, F8, 38) (dual of [72, 17, 39]-code) [i]
10Linear OA(864, 77, F8, 45) (dual of [77, 13, 46]-code) [i]
11Linear OA(857, 75, F8, 38) (dual of [75, 18, 39]-code) [i]
12Linear OA(868, 81, F8, 47) (dual of [81, 13, 48]-code) [i]
13Linear OA(858, 77, F8, 38) (dual of [77, 19, 39]-code) [i]
14Linear OA(873, 86, F8, 50) (dual of [86, 13, 51]-code) [i]
15Linear OA(860, 80, F8, 38) (dual of [80, 20, 39]-code) [i]
16Linear OA(875, 88, F8, 51) (dual of [88, 13, 52]-code) [i]
17Linear OA(862, 83, F8, 38) (dual of [83, 21, 39]-code) [i]
18Linear OA(884, 97, F8, 55) (dual of [97, 13, 56]-code) [i]
19Linear OA(882, 95, F8, 54) (dual of [95, 13, 55]-code) [i]
20Linear OA(878, 91, F8, 52) (dual of [91, 13, 53]-code) [i]
21Linear OA(863, 85, F8, 38) (dual of [85, 22, 39]-code) [i]
22Linear OA(864, 87, F8, 38) (dual of [87, 23, 39]-code) [i]
23Linear OA(866, 90, F8, 38) (dual of [90, 24, 39]-code) [i]
24Linear OA(882, 95, F8, 55) (dual of [95, 13, 56]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
25Linear OA(879, 92, F8, 53) (dual of [92, 13, 54]-code) [i]
26Linear OA(877, 92, F8, 50) (dual of [92, 15, 51]-code) [i]
27Linear OA(878, 94, F8, 49) (dual of [94, 16, 50]-code) [i]
28Linear OA(879, 96, F8, 48) (dual of [96, 17, 49]-code) [i]
29Linear OA(866, 79, F8, 46) (dual of [79, 13, 47]-code) [i]
30Linear OA(868, 82, F8, 46) (dual of [82, 14, 47]-code) [i]
31Linear OA(865, 79, F8, 45) (dual of [79, 14, 46]-code) [i]
32Linear OA(867, 82, F8, 44) (dual of [82, 15, 45]-code) [i]
33Linear OA(856, 74, F8, 38) (dual of [74, 18, 39]-code) [i]
34Linear OA(859, 79, F8, 38) (dual of [79, 20, 39]-code) [i]
35Linear OA(861, 82, F8, 38) (dual of [82, 21, 39]-code) [i]
36Linear OA(868, 93, F8, 38) (dual of [93, 25, 39]-code) [i]
37Linear OA(865, 89, F8, 38) (dual of [89, 24, 39]-code) [i]
38Linear OA(867, 92, F8, 38) (dual of [92, 25, 39]-code) [i]