Information on Result #622121

Linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code), using extended algebraic-geometric code AGe(F,8P) based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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(852, 32782, F8, 11) (dual of [32782, 32730, 12]-code) [i](u, u+v)-Construction
2Linear OA(861, 262158, F8, 11) (dual of [262158, 262097, 12]-code) [i]
3Linear OA(870, 2097166, F8, 11) (dual of [2097166, 2097096, 12]-code) [i]
4Linear OA(831, 526, F8, 10) (dual of [526, 495, 11]-code) [i]
5Linear OA(847, 32782, F8, 10) (dual of [32782, 32735, 11]-code) [i]
6Linear OA(855, 262158, F8, 10) (dual of [262158, 262103, 11]-code) [i]
7Linear OA(863, 2097166, F8, 10) (dual of [2097166, 2097103, 11]-code) [i]
8Linear OA(870, 78, F8, 52) (dual of [78, 8, 53]-code) [i]Juxtaposition
9Linear OA(879, 86, F8, 60) (dual of [86, 7, 61]-code) [i]
10Linear OA(889, 95, F8, 69) (dual of [95, 6, 70]-code) [i]
11Linear OA(888, 93, F8, 69) (dual of [93, 5, 70]-code) [i]
12Linear OA(8132, 137, F8, 109) (dual of [137, 5, 110]-code) [i]
13Linear OA(8123, 129, F8, 101) (dual of [129, 6, 102]-code) [i]
14Linear OA(8136, 144, F8, 105) (dual of [144, 8, 106]-code) [i]
15Linear OA(8136, 143, F8, 108) (dual of [143, 7, 109]-code) [i]
16Linear OA(866, 76, F8, 46) (dual of [76, 10, 47]-code) [i]Construction X with Algebraic-Geometric Codes
17Linear OA(863, 76, F8, 43) (dual of [76, 13, 44]-code) [i]
18Linear OA(862, 76, F8, 42) (dual of [76, 14, 43]-code) [i]
19Linear OA(861, 76, F8, 41) (dual of [76, 15, 42]-code) [i]
20Linear OA(860, 76, F8, 40) (dual of [76, 16, 41]-code) [i]
21Linear OA(859, 76, F8, 39) (dual of [76, 17, 40]-code) [i]
22Linear OA(858, 76, F8, 38) (dual of [76, 18, 39]-code) [i]
23Linear OA(857, 76, F8, 37) (dual of [76, 19, 38]-code) [i]
24Linear OA(856, 76, F8, 36) (dual of [76, 20, 37]-code) [i]
25Linear OA(855, 76, F8, 35) (dual of [76, 21, 36]-code) [i]
26Linear OA(854, 76, F8, 34) (dual of [76, 22, 35]-code) [i]
27Linear OA(853, 76, F8, 33) (dual of [76, 23, 34]-code) [i]
28Linear OA(852, 76, F8, 32) (dual of [76, 24, 33]-code) [i]
29Linear OA(851, 76, F8, 31) (dual of [76, 25, 32]-code) [i]
30Linear OA(850, 76, F8, 30) (dual of [76, 26, 31]-code) [i]
31Linear OA(849, 76, F8, 29) (dual of [76, 27, 30]-code) [i]
32Linear OA(848, 76, F8, 28) (dual of [76, 28, 29]-code) [i]
33Linear OA(847, 76, F8, 27) (dual of [76, 29, 28]-code) [i]
34Linear OA(846, 76, F8, 26) (dual of [76, 30, 27]-code) [i]
35Linear OA(845, 76, F8, 25) (dual of [76, 31, 26]-code) [i]
36Linear OA(844, 76, F8, 24) (dual of [76, 32, 25]-code) [i]
37Linear OA(843, 76, F8, 23) (dual of [76, 33, 24]-code) [i]
38Linear OA(842, 76, F8, 22) (dual of [76, 34, 23]-code) [i]
39Linear OA(841, 76, F8, 21) (dual of [76, 35, 22]-code) [i]
40Linear OA(864, 75, F8, 47) (dual of [75, 11, 48]-code) [i]
41Linear OA(862, 76, F8, 43) (dual of [76, 14, 44]-code) [i]
42Linear OA(858, 75, F8, 39) (dual of [75, 17, 40]-code) [i]
43Linear OA(857, 75, F8, 38) (dual of [75, 18, 39]-code) [i]
44Linear OA(856, 75, F8, 37) (dual of [75, 19, 38]-code) [i]
45Linear OA(867, 82, F8, 44) (dual of [82, 15, 45]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
46Linear OA(864, 79, F8, 43) (dual of [79, 15, 44]-code) [i]
47Linear OA(866, 82, F8, 43) (dual of [82, 16, 44]-code) [i]
48Linear OA(8139, 527, F8, 51) (dual of [527, 388, 52]-code) [i]Construction X with Cyclic Codes
49Linear OA(8133, 527, F8, 49) (dual of [527, 394, 50]-code) [i]
50Linear OA(897, 527, F8, 35) (dual of [527, 430, 36]-code) [i]
51Linear OA(891, 527, F8, 33) (dual of [527, 436, 34]-code) [i]
52Linear OA(855, 527, F8, 19) (dual of [527, 472, 20]-code) [i]
53Linear OA(849, 527, F8, 17) (dual of [527, 478, 18]-code) [i]
54Linear OA(838, 80, F8, 20) (dual of [80, 42, 21]-code) [i]Construction XX with Cyclic Codes
55Linear OA(837, 78, F8, 20) (dual of [78, 41, 21]-code) [i]
56Linear OA(840, 80, F8, 21) (dual of [80, 40, 22]-code) [i]
57Linear OA(839, 78, F8, 21) (dual of [78, 39, 22]-code) [i]
58Linear OA(841, 83, F8, 21) (dual of [83, 42, 22]-code) [i]
59Linear OA(840, 81, F8, 21) (dual of [81, 41, 22]-code) [i]
60Linear OA(842, 80, F8, 22) (dual of [80, 38, 23]-code) [i]
61Linear OA(841, 78, F8, 22) (dual of [78, 37, 23]-code) [i]
62Linear OA(843, 83, F8, 22) (dual of [83, 40, 23]-code) [i]
63Linear OA(842, 81, F8, 22) (dual of [81, 39, 23]-code) [i]
64Linear OA(843, 84, F8, 22) (dual of [84, 41, 23]-code) [i]
65Linear OA(845, 83, F8, 23) (dual of [83, 38, 24]-code) [i]
66Linear OA(844, 81, F8, 23) (dual of [81, 37, 24]-code) [i]
67Linear OA(845, 84, F8, 23) (dual of [84, 39, 24]-code) [i]
68Linear OA(847, 84, F8, 24) (dual of [84, 37, 25]-code) [i]
69Linear OA(851, 89, F8, 26) (dual of [89, 38, 27]-code) [i]
70Linear OA(848, 85, F8, 25) (dual of [85, 37, 26]-code) [i]
71Linear OA(852, 89, F8, 27) (dual of [89, 37, 28]-code) [i]
72Linear OA(862, 94, F8, 33) (dual of [94, 32, 34]-code) [i]
73Linear OA(860, 91, F8, 32) (dual of [91, 31, 33]-code) [i]
74Linear OA(861, 91, F8, 33) (dual of [91, 30, 34]-code) [i]
75Linear OA(860, 90, F8, 33) (dual of [90, 30, 34]-code) [i]
76Linear OA(858, 86, F8, 33) (dual of [86, 28, 34]-code) [i]
77Linear OA(857, 83, F8, 33) (dual of [83, 26, 34]-code) [i]
78Linear OA(848, 75, F8, 29) (dual of [75, 27, 30]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
79Linear OA(846, 75, F8, 28) (dual of [75, 29, 29]-code) [i]
80Linear OA(845, 76, F8, 27) (dual of [76, 31, 28]-code) [i]
81Linear OA(854, 78, F8, 34) (dual of [78, 24, 35]-code) [i]
82Linear OA(845, 78, F8, 26) (dual of [78, 33, 27]-code) [i]
83Linear OA(839, 77, F8, 21) (dual of [77, 38, 22]-code) [i]
84Linear OA(837, 77, F8, 20) (dual of [77, 40, 21]-code) [i]
85Linear OA(835, 77, F8, 19) (dual of [77, 42, 20]-code) [i]
86Linear OA(834, 78, F8, 18) (dual of [78, 44, 19]-code) [i]
87Linear OA(840, 79, F8, 21) (dual of [79, 39, 22]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
88Linear OA(838, 79, F8, 20) (dual of [79, 41, 21]-code) [i]
89Linear OA(836, 79, F8, 19) (dual of [79, 43, 20]-code) [i]