Information on Result #622244

Linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using extended algebraic-geometric code AGe(F,16P) 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(975, 758, F9, 23) (dual of [758, 683, 24]-code) [i](u, u+v)-Construction
2Linear OA(9115, 59078, F9, 23) (dual of [59078, 58963, 24]-code) [i]
3Linear OA(972, 757, F9, 22) (dual of [757, 685, 23]-code) [i]
4Linear OA(9110, 59077, F9, 22) (dual of [59077, 58967, 23]-code) [i]
5Linear OA(9148, 4782997, F9, 22) (dual of [4782997, 4782849, 23]-code) [i]
6Linear OA(994, 108, F9, 63) (dual of [108, 14, 64]-code) [i]Juxtaposition
7Linear OA(993, 106, F9, 63) (dual of [106, 13, 64]-code) [i]
8Linear OA(995, 108, F9, 64) (dual of [108, 13, 65]-code) [i]
9Linear OA(992, 104, F9, 63) (dual of [104, 12, 64]-code) [i]
10Linear OA(991, 102, F9, 63) (dual of [102, 11, 64]-code) [i]
11Linear OA(9104, 115, F9, 72) (dual of [115, 11, 73]-code) [i]
12Linear OA(996, 105, F9, 73) (dual of [105, 9, 74]-code) [i]
13Linear OA(995, 103, F9, 73) (dual of [103, 8, 74]-code) [i]
14Linear OA(9144, 155, F9, 105) (dual of [155, 11, 106]-code) [i]
15Linear OA(9136, 146, F9, 101) (dual of [146, 10, 102]-code) [i]
16Linear OA(352, 72, F3, 23) (dual of [72, 20, 24]-code) [i]Concatenation of Two Codes
17Linear OA(351, 69, F3, 23) (dual of [69, 18, 24]-code) [i]
18Linear OA(384, 112, F3, 35) (dual of [112, 28, 36]-code) [i]
19Linear OA(382, 108, F3, 35) (dual of [108, 26, 36]-code) [i]
20Linear OA(380, 104, F3, 35) (dual of [104, 24, 36]-code) [i]
21Linear OA(378, 100, F3, 35) (dual of [100, 22, 36]-code) [i]
22Linear OA(982, 99, F9, 51) (dual of [99, 17, 52]-code) [i]Construction X with Algebraic-Geometric Codes
23Linear OA(979, 99, F9, 48) (dual of [99, 20, 49]-code) [i]
24Linear OA(978, 99, F9, 47) (dual of [99, 21, 48]-code) [i]
25Linear OA(977, 99, F9, 46) (dual of [99, 22, 47]-code) [i]
26Linear OA(976, 99, F9, 45) (dual of [99, 23, 46]-code) [i]
27Linear OA(975, 99, F9, 44) (dual of [99, 24, 45]-code) [i]
28Linear OA(974, 99, F9, 43) (dual of [99, 25, 44]-code) [i]
29Linear OA(973, 99, F9, 42) (dual of [99, 26, 43]-code) [i]
30Linear OA(972, 99, F9, 41) (dual of [99, 27, 42]-code) [i]
31Linear OA(970, 99, F9, 39) (dual of [99, 29, 40]-code) [i]
32Linear OA(969, 99, F9, 38) (dual of [99, 30, 39]-code) [i]
33Linear OA(968, 99, F9, 37) (dual of [99, 31, 38]-code) [i]
34Linear OA(967, 99, F9, 36) (dual of [99, 32, 37]-code) [i]
35Linear OA(966, 99, F9, 35) (dual of [99, 33, 36]-code) [i]
36Linear OA(965, 99, F9, 34) (dual of [99, 34, 35]-code) [i]
37Linear OA(964, 99, F9, 33) (dual of [99, 35, 34]-code) [i]
38Linear OA(963, 99, F9, 32) (dual of [99, 36, 33]-code) [i]
39Linear OA(974, 94, F9, 44) (dual of [94, 20, 45]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
40Linear OA(965, 94, F9, 35) (dual of [94, 29, 36]-code) [i]
41Linear OA(964, 94, F9, 34) (dual of [94, 30, 35]-code) [i]
42Linear OA(984, 107, F9, 53) (dual of [107, 23, 54]-code) [i]Construction X with Cyclic Codes
43Linear OA(982, 106, F9, 52) (dual of [106, 24, 53]-code) [i]
44Linear OA(981, 106, F9, 51) (dual of [106, 25, 52]-code) [i]
45Linear OA(980, 105, F9, 51) (dual of [105, 25, 52]-code) [i]
46Linear OA(975, 104, F9, 43) (dual of [104, 29, 44]-code) [i]
47Linear OA(971, 104, F9, 41) (dual of [104, 33, 42]-code) [i]
48Linear OA(971, 110, F9, 37) (dual of [110, 39, 38]-code) [i]
49Linear OA(969, 108, F9, 37) (dual of [108, 39, 38]-code) [i]
50Linear OA(978, 108, F9, 45) (dual of [108, 30, 46]-code) [i]
51Linear OA(984, 108, F9, 53) (dual of [108, 24, 54]-code) [i]Construction XX with Cyclic Codes
52Linear OA(982, 107, F9, 52) (dual of [107, 25, 53]-code) [i]
53Linear OA(967, 113, F9, 34) (dual of [113, 46, 35]-code) [i]
54Linear OA(969, 113, F9, 35) (dual of [113, 44, 36]-code) [i]
55Linear OA(971, 113, F9, 36) (dual of [113, 42, 37]-code) [i]
56Linear OA(981, 127, F9, 41) (dual of [127, 46, 42]-code) [i]
57Linear OA(980, 124, F9, 41) (dual of [124, 44, 42]-code) [i]
58Linear OA(979, 121, F9, 41) (dual of [121, 42, 42]-code) [i]
59Linear OA(977, 117, F9, 41) (dual of [117, 40, 42]-code) [i]
60Linear OA(982, 126, F9, 42) (dual of [126, 44, 43]-code) [i]
61Linear OA(981, 123, F9, 42) (dual of [123, 42, 43]-code) [i]
62Linear OA(980, 120, F9, 42) (dual of [120, 40, 43]-code) [i]
63Linear OA(978, 116, F9, 42) (dual of [116, 38, 43]-code) [i]
64Linear OA(976, 112, F9, 43) (dual of [112, 36, 44]-code) [i]
65Linear OA(975, 110, F9, 43) (dual of [110, 35, 44]-code) [i]
66Linear OA(978, 112, F9, 44) (dual of [112, 34, 45]-code) [i]
67Linear OA(977, 110, F9, 44) (dual of [110, 33, 45]-code) [i]
68Linear OA(979, 115, F9, 44) (dual of [115, 36, 45]-code) [i]
69Linear OA(978, 113, F9, 44) (dual of [113, 35, 45]-code) [i]
70Linear OA(981, 115, F9, 45) (dual of [115, 34, 46]-code) [i]
71Linear OA(980, 113, F9, 45) (dual of [113, 33, 46]-code) [i]
72Linear OA(979, 110, F9, 45) (dual of [110, 31, 46]-code) [i]
73Linear OA(982, 118, F9, 45) (dual of [118, 36, 46]-code) [i]
74Linear OA(981, 116, F9, 45) (dual of [116, 35, 46]-code) [i]
75Linear OA(984, 118, F9, 46) (dual of [118, 34, 47]-code) [i]
76Linear OA(983, 116, F9, 46) (dual of [116, 33, 47]-code) [i]
77Linear OA(992, 127, F9, 51) (dual of [127, 35, 52]-code) [i]
78Linear OA(991, 125, F9, 51) (dual of [125, 34, 52]-code) [i]
79Linear OA(990, 123, F9, 51) (dual of [123, 33, 52]-code) [i]
80Linear OA(989, 120, F9, 51) (dual of [120, 31, 52]-code) [i]
81Linear OA(987, 116, F9, 51) (dual of [116, 29, 52]-code) [i]
82Linear OA(993, 127, F9, 52) (dual of [127, 34, 53]-code) [i]
83Linear OA(992, 125, F9, 52) (dual of [125, 33, 53]-code) [i]
84Linear OA(991, 122, F9, 52) (dual of [122, 31, 53]-code) [i]
85Linear OA(990, 119, F9, 52) (dual of [119, 29, 53]-code) [i]
86Linear OA(989, 117, F9, 52) (dual of [117, 28, 53]-code) [i]
87Linear OA(991, 118, F9, 53) (dual of [118, 27, 54]-code) [i]
88Linear OA(990, 116, F9, 53) (dual of [116, 26, 54]-code) [i]
89Linear OA(987, 111, F9, 54) (dual of [111, 24, 55]-code) [i]
90Linear OA(986, 109, F9, 54) (dual of [109, 23, 55]-code) [i]
91Linear OA(988, 113, F9, 54) (dual of [113, 25, 55]-code) [i]
92Linear OA(990, 114, F9, 55) (dual of [114, 24, 56]-code) [i]
93Linear OA(9100, 125, F9, 61) (dual of [125, 25, 62]-code) [i]
94Linear OA(999, 123, F9, 61) (dual of [123, 24, 62]-code) [i]
95Linear OA(998, 121, F9, 61) (dual of [121, 23, 62]-code) [i]
96Linear OA(997, 119, F9, 61) (dual of [119, 22, 62]-code) [i]
97Linear OA(9104, 129, F9, 62) (dual of [129, 25, 63]-code) [i]
98Linear OA(9103, 127, F9, 62) (dual of [127, 24, 63]-code) [i]
99Linear OA(9101, 124, F9, 62) (dual of [124, 23, 63]-code) [i]
100Linear OA(9101, 125, F9, 62) (dual of [125, 24, 63]-code) [i]
101Linear OA(9100, 123, F9, 62) (dual of [123, 23, 63]-code) [i]
102Linear OA(999, 121, F9, 62) (dual of [121, 22, 63]-code) [i]
103Linear OA(998, 118, F9, 62) (dual of [118, 20, 63]-code) [i]
104Linear OA(985, 109, F9, 53) (dual of [109, 24, 54]-code) [i]Construction XX with a Chain of Cyclic Codes
105Linear OA(984, 109, F9, 52) (dual of [109, 25, 53]-code) [i]
106Linear OA(990, 113, F9, 55) (dual of [113, 23, 56]-code) [i]
107Linear OA(974, 113, F9, 39) (dual of [113, 39, 40]-code) [i]
108Linear OA(989, 105, F9, 62) (dual of [105, 16, 63]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
109Linear OA(979, 109, F9, 45) (dual of [109, 30, 46]-code) [i]
110Linear OA(977, 109, F9, 44) (dual of [109, 32, 45]-code) [i]
111Linear OA(975, 109, F9, 43) (dual of [109, 34, 44]-code) [i]
112Linear OA(973, 109, F9, 42) (dual of [109, 36, 43]-code) [i]
113Linear OA(970, 109, F9, 37) (dual of [109, 39, 38]-code) [i]
114Linear OA(999, 118, F9, 62) (dual of [118, 19, 63]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
115Linear OA(996, 114, F9, 62) (dual of [114, 18, 63]-code) [i]
116Linear OA(995, 112, F9, 62) (dual of [112, 17, 63]-code) [i]
117Linear OA(999, 119, F9, 62) (dual of [119, 20, 63]-code) [i]
118Linear OA(998, 117, F9, 62) (dual of [117, 19, 63]-code) [i]
119Linear OA(987, 110, F9, 54) (dual of [110, 23, 55]-code) [i]
120Linear OA(985, 110, F9, 53) (dual of [110, 25, 54]-code) [i]
121Linear OA(988, 115, F9, 52) (dual of [115, 27, 53]-code) [i]
122Linear OA(987, 113, F9, 52) (dual of [113, 26, 53]-code) [i]
123Linear OA(980, 110, F9, 46) (dual of [110, 30, 47]-code) [i]
124Linear OA(971, 110, F9, 38) (dual of [110, 39, 39]-code) [i]
125Linear OOA(914, 14, F9, 2, 11) (dual of [(14, 2), 14, 12]-NRT-code) [i]OOA Folding