Information on Result #644199

Linear OA(847, 64, F8, 33) (dual of [64, 17, 34]-code), using algebraic-geometric code AG(F,30P) 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(8111, 128, F8, 67) (dual of [128, 17, 68]-code) [i]Repeating Each Code Word
2Linear OA(2205, 256, F2, 67) (dual of [256, 51, 68]-code) [i]Concatenation of Two Codes
3Linear OA(850, 67, F8, 35) (dual of [67, 17, 36]-code) [i]✔Construction X with Algebraic-Geometric Codes
4Linear OA(848, 67, F8, 33) (dual of [67, 19, 34]-code) [i]✔
5Linear OA(852, 69, F8, 36) (dual of [69, 17, 37]-code) [i]✔
6Linear OA(849, 69, F8, 33) (dual of [69, 20, 34]-code) [i]✔
7Linear OA(854, 71, F8, 37) (dual of [71, 17, 38]-code) [i]✔
8Linear OA(850, 71, F8, 33) (dual of [71, 21, 34]-code) [i]✔
9Linear OA(856, 73, F8, 38) (dual of [73, 17, 39]-code) [i]✔
10Linear OA(851, 73, F8, 33) (dual of [73, 22, 34]-code) [i]✔
11Linear OA(859, 76, F8, 39) (dual of [76, 17, 40]-code) [i]✔
12Linear OA(853, 76, F8, 33) (dual of [76, 23, 34]-code) [i]✔
13Linear OA(861, 78, F8, 40) (dual of [78, 17, 41]-code) [i]✔
14Linear OA(854, 78, F8, 33) (dual of [78, 24, 34]-code) [i]✔
15Linear OA(864, 81, F8, 41) (dual of [81, 17, 42]-code) [i]✔
16Linear OA(856, 81, F8, 33) (dual of [81, 25, 34]-code) [i]✔
17Linear OA(867, 84, F8, 42) (dual of [84, 17, 43]-code) [i]✔
18Linear OA(858, 84, F8, 33) (dual of [84, 26, 34]-code) [i]✔
19Linear OA(869, 86, F8, 43) (dual of [86, 17, 44]-code) [i]✔
20Linear OA(859, 86, F8, 33) (dual of [86, 27, 34]-code) [i]✔
21Linear OA(871, 88, F8, 44) (dual of [88, 17, 45]-code) [i]✔
22Linear OA(860, 88, F8, 33) (dual of [88, 28, 34]-code) [i]✔
23Linear OA(853, 70, F8, 37) (dual of [70, 17, 38]-code) [i]✔
24Linear OA(855, 72, F8, 38) (dual of [72, 17, 39]-code) [i]✔
25Linear OA(858, 75, F8, 39) (dual of [75, 17, 40]-code) [i]✔
26Linear OA(861, 78, F8, 41) (dual of [78, 17, 42]-code) [i]✔
27Linear OA(866, 83, F8, 42) (dual of [83, 17, 43]-code) [i]✔
28Linear OA(868, 85, F8, 43) (dual of [85, 17, 44]-code) [i]✔
29Linear OA(871, 88, F8, 45) (dual of [88, 17, 46]-code) [i]✔
30Linear OA(877, 94, F8, 47) (dual of [94, 17, 48]-code) [i]✔
31Linear OA(875, 92, F8, 46) (dual of [92, 17, 47]-code) [i]✔
32Linear OA(874, 91, F8, 45) (dual of [91, 17, 46]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
33Linear OA(872, 91, F8, 43) (dual of [91, 19, 44]-code) [i]✔
34Linear OA(862, 91, F8, 33) (dual of [91, 29, 34]-code) [i]✔
35Linear OA(879, 96, F8, 48) (dual of [96, 17, 49]-code) [i]✔
36Linear OA(880, 97, F8, 49) (dual of [97, 17, 50]-code) [i]✔
37Linear OA(876, 93, F8, 47) (dual of [93, 17, 48]-code) [i]✔
38Linear OA(874, 91, F8, 46) (dual of [91, 17, 47]-code) [i]✔
39Linear OA(871, 89, F8, 44) (dual of [89, 18, 45]-code) [i]✔
40Linear OA(875, 94, F8, 45) (dual of [94, 19, 46]-code) [i]✔
41Linear OA(865, 82, F8, 42) (dual of [82, 17, 43]-code) [i]✔
42Linear OA(861, 79, F8, 40) (dual of [79, 18, 41]-code) [i]✔
43Linear OA(857, 74, F8, 39) (dual of [74, 17, 40]-code) [i]✔
44Linear OA(856, 74, F8, 38) (dual of [74, 18, 39]-code) [i]✔
45Linear OA(862, 80, F8, 41) (dual of [80, 18, 42]-code) [i]✔
46Linear OA(864, 83, F8, 41) (dual of [83, 19, 42]-code) [i]✔
47Linear OOA(847, 32, F8, 2, 33) (dual of [(32, 2), 17, 34]-NRT-code) [i]OOA Folding