Information on Result #622243

Linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using extended algebraic-geometric code AGe(F,17P) based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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(968, 758, F9, 21) (dual of [758, 690, 22]-code) [i](u, u+v)-Construction
2Linear OA(9104, 59078, F9, 21) (dual of [59078, 58974, 22]-code) [i]
3Linear OA(9140, 4782998, F9, 21) (dual of [4782998, 4782858, 22]-code) [i]
4Linear OA(965, 757, F9, 20) (dual of [757, 692, 21]-code) [i]
5Linear OA(999, 59077, F9, 20) (dual of [59077, 58978, 21]-code) [i]
6Linear OA(9133, 4782997, F9, 20) (dual of [4782997, 4782864, 21]-code) [i]
7Linear OA(994, 109, F9, 62) (dual of [109, 15, 63]-code) [i]Juxtaposition
8Linear OA(993, 107, F9, 62) (dual of [107, 14, 63]-code) [i]
9Linear OA(992, 105, F9, 62) (dual of [105, 13, 63]-code) [i]
10Linear OA(991, 103, F9, 62) (dual of [103, 12, 63]-code) [i]
11Linear OA(990, 101, F9, 62) (dual of [101, 11, 63]-code) [i]
12Linear OA(995, 104, F9, 72) (dual of [104, 9, 73]-code) [i]
13Linear OA(9143, 154, F9, 104) (dual of [154, 11, 105]-code) [i]
14Linear OA(9135, 145, F9, 100) (dual of [145, 10, 101]-code) [i]
15Linear OA(380, 108, F3, 32) (dual of [108, 28, 33]-code) [i]Concatenation of Two Codes
16Linear OA(378, 104, F3, 32) (dual of [104, 26, 33]-code) [i]
17Linear OA(376, 100, F3, 32) (dual of [100, 24, 33]-code) [i]
18Linear OA(977, 97, F9, 47) (dual of [97, 20, 48]-code) [i]Construction X with Algebraic-Geometric Codes
19Linear OA(976, 97, F9, 46) (dual of [97, 21, 47]-code) [i]
20Linear OA(975, 97, F9, 45) (dual of [97, 22, 46]-code) [i]
21Linear OA(974, 97, F9, 44) (dual of [97, 23, 45]-code) [i]
22Linear OA(973, 97, F9, 43) (dual of [97, 24, 44]-code) [i]
23Linear OA(972, 97, F9, 42) (dual of [97, 25, 43]-code) [i]
24Linear OA(971, 97, F9, 41) (dual of [97, 26, 42]-code) [i]
25Linear OA(968, 97, F9, 38) (dual of [97, 29, 39]-code) [i]
26Linear OA(967, 97, F9, 37) (dual of [97, 30, 38]-code) [i]
27Linear OA(966, 97, F9, 36) (dual of [97, 31, 37]-code) [i]
28Linear OA(965, 97, F9, 35) (dual of [97, 32, 36]-code) [i]
29Linear OA(964, 97, F9, 34) (dual of [97, 33, 35]-code) [i]
30Linear OA(963, 97, F9, 33) (dual of [97, 34, 34]-code) [i]
31Linear OA(962, 97, F9, 32) (dual of [97, 35, 33]-code) [i]
32Linear OA(961, 97, F9, 31) (dual of [97, 36, 32]-code) [i]
33Linear OA(983, 104, F9, 53) (dual of [104, 21, 54]-code) [i]Construction X with Cyclic Codes
34Linear OA(981, 104, F9, 52) (dual of [104, 23, 53]-code) [i]
35Linear OA(979, 103, F9, 51) (dual of [103, 24, 52]-code) [i]
36Linear OA(978, 103, F9, 50) (dual of [103, 25, 51]-code) [i]
37Linear OA(970, 110, F9, 36) (dual of [110, 40, 37]-code) [i]
38Linear OA(983, 105, F9, 53) (dual of [105, 22, 54]-code) [i]Construction XX with Cyclic Codes
39Linear OA(981, 105, F9, 52) (dual of [105, 24, 53]-code) [i]
40Linear OA(979, 104, F9, 51) (dual of [104, 25, 52]-code) [i]
41Linear OA(962, 111, F9, 32) (dual of [111, 49, 33]-code) [i]
42Linear OA(964, 112, F9, 33) (dual of [112, 48, 34]-code) [i]
43Linear OA(963, 110, F9, 33) (dual of [110, 47, 34]-code) [i]
44Linear OA(965, 114, F9, 33) (dual of [114, 49, 34]-code) [i]
45Linear OA(967, 115, F9, 34) (dual of [115, 48, 35]-code) [i]
46Linear OA(966, 113, F9, 34) (dual of [113, 47, 35]-code) [i]
47Linear OA(965, 110, F9, 34) (dual of [110, 45, 35]-code) [i]
48Linear OA(969, 116, F9, 35) (dual of [116, 47, 36]-code) [i]
49Linear OA(968, 113, F9, 35) (dual of [113, 45, 36]-code) [i]
50Linear OA(967, 110, F9, 35) (dual of [110, 43, 36]-code) [i]
51Linear OA(971, 116, F9, 36) (dual of [116, 45, 37]-code) [i]
52Linear OA(970, 113, F9, 36) (dual of [113, 43, 37]-code) [i]
53Linear OA(969, 110, F9, 36) (dual of [110, 41, 37]-code) [i]
54Linear OA(973, 116, F9, 37) (dual of [116, 43, 38]-code) [i]
55Linear OA(972, 113, F9, 37) (dual of [113, 41, 38]-code) [i]
56Linear OA(978, 124, F9, 40) (dual of [124, 46, 41]-code) [i]
57Linear OA(977, 121, F9, 40) (dual of [121, 44, 41]-code) [i]
58Linear OA(976, 118, F9, 40) (dual of [118, 42, 41]-code) [i]
59Linear OA(975, 116, F9, 40) (dual of [116, 41, 41]-code) [i]
60Linear OA(974, 114, F9, 40) (dual of [114, 40, 41]-code) [i]
61Linear OA(980, 125, F9, 41) (dual of [125, 45, 42]-code) [i]
62Linear OA(979, 123, F9, 41) (dual of [123, 44, 42]-code) [i]
63Linear OA(978, 120, F9, 41) (dual of [120, 42, 42]-code) [i]
64Linear OA(976, 115, F9, 41) (dual of [115, 39, 42]-code) [i]
65Linear OA(981, 124, F9, 42) (dual of [124, 43, 43]-code) [i]
66Linear OA(980, 121, F9, 42) (dual of [121, 41, 43]-code) [i]
67Linear OA(979, 118, F9, 42) (dual of [118, 39, 43]-code) [i]
68Linear OA(977, 114, F9, 42) (dual of [114, 37, 43]-code) [i]
69Linear OA(983, 124, F9, 43) (dual of [124, 41, 44]-code) [i]
70Linear OA(982, 121, F9, 43) (dual of [121, 39, 44]-code) [i]
71Linear OA(974, 108, F9, 43) (dual of [108, 34, 44]-code) [i]
72Linear OA(977, 111, F9, 44) (dual of [111, 34, 45]-code) [i]
73Linear OA(976, 108, F9, 44) (dual of [108, 32, 45]-code) [i]
74Linear OA(980, 114, F9, 45) (dual of [114, 34, 46]-code) [i]
75Linear OA(979, 111, F9, 45) (dual of [111, 32, 46]-code) [i]
76Linear OA(982, 114, F9, 46) (dual of [114, 32, 47]-code) [i]
77Linear OA(989, 124, F9, 50) (dual of [124, 35, 51]-code) [i]
78Linear OA(988, 122, F9, 50) (dual of [122, 34, 51]-code) [i]
79Linear OA(987, 120, F9, 50) (dual of [120, 33, 51]-code) [i]
80Linear OA(984, 113, F9, 50) (dual of [113, 29, 51]-code) [i]
81Linear OA(990, 124, F9, 51) (dual of [124, 34, 52]-code) [i]
82Linear OA(989, 122, F9, 51) (dual of [122, 33, 52]-code) [i]
83Linear OA(986, 114, F9, 51) (dual of [114, 28, 52]-code) [i]
84Linear OA(991, 123, F9, 52) (dual of [123, 32, 53]-code) [i]
85Linear OA(990, 120, F9, 52) (dual of [120, 30, 53]-code) [i]
86Linear OA(983, 106, F9, 53) (dual of [106, 23, 54]-code) [i]
87Linear OA(997, 122, F9, 60) (dual of [122, 25, 61]-code) [i]
88Linear OA(996, 120, F9, 60) (dual of [120, 24, 61]-code) [i]
89Linear OA(998, 122, F9, 61) (dual of [122, 24, 62]-code) [i]
90Linear OA(9104, 129, F9, 62) (dual of [129, 25, 63]-code) [i]
91Linear OA(9103, 127, F9, 62) (dual of [127, 24, 63]-code) [i]
92Linear OA(998, 119, F9, 62) (dual of [119, 21, 63]-code) [i]
93Linear OA(988, 103, F9, 62) (dual of [103, 15, 63]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
94Linear OA(976, 107, F9, 44) (dual of [107, 31, 45]-code) [i]
95Linear OA(974, 107, F9, 43) (dual of [107, 33, 44]-code) [i]
96Linear OA(972, 107, F9, 42) (dual of [107, 35, 43]-code) [i]
97Linear OA(970, 106, F9, 41) (dual of [106, 36, 42]-code) [i]
98Linear OA(969, 109, F9, 36) (dual of [109, 40, 37]-code) [i]
99Linear OA(967, 109, F9, 35) (dual of [109, 42, 36]-code) [i]
100Linear OA(965, 109, F9, 34) (dual of [109, 44, 35]-code) [i]
101Linear OA(963, 109, F9, 33) (dual of [109, 46, 34]-code) [i]
102Linear OA(961, 109, F9, 32) (dual of [109, 48, 33]-code) [i]
103Linear OA(959, 108, F9, 31) (dual of [108, 49, 32]-code) [i]
104Linear OA(997, 115, F9, 62) (dual of [115, 18, 63]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
105Linear OA(996, 113, F9, 62) (dual of [113, 17, 63]-code) [i]
106Linear OA(989, 116, F9, 52) (dual of [116, 27, 53]-code) [i]
107Linear OA(988, 114, F9, 52) (dual of [114, 26, 53]-code) [i]
108Linear OA(989, 118, F9, 51) (dual of [118, 29, 52]-code) [i]
109Linear OA(985, 112, F9, 51) (dual of [112, 27, 52]-code) [i]
110Linear OA(984, 110, F9, 51) (dual of [110, 26, 52]-code) [i]
111Linear OA(988, 117, F9, 51) (dual of [117, 29, 52]-code) [i]
112Linear OA(987, 115, F9, 51) (dual of [115, 28, 52]-code) [i]
113Linear OA(988, 118, F9, 50) (dual of [118, 30, 51]-code) [i]
114Linear OA(978, 115, F9, 42) (dual of [115, 37, 43]-code) [i]
115Linear OA(975, 113, F9, 41) (dual of [113, 38, 42]-code) [i]
116Linear OA(977, 116, F9, 41) (dual of [116, 39, 42]-code) [i]
117Linear OOA(913, 14, F9, 2, 10) (dual of [(14, 2), 15, 11]-NRT-code) [i]OOA Folding