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