Information on Result #622968

Linear OA(2718, 38, F27, 17) (dual of [38, 20, 18]-code), using extended algebraic-geometric code AGe(F,20P) based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2784, 767, F27, 35) (dual of [767, 683, 36]-code) [i](u, u+v)-Construction
2Linear OA(2782, 767, F27, 34) (dual of [767, 685, 35]-code) [i]
3Linear OA(392, 152, F3, 35) (dual of [152, 60, 36]-code) [i]Concatenation of Two Codes
4Linear OA(391, 148, F3, 35) (dual of [148, 57, 36]-code) [i]
5Linear OA(390, 144, F3, 35) (dual of [144, 54, 36]-code) [i]
6Linear OA(389, 140, F3, 35) (dual of [140, 51, 36]-code) [i]
7Linear OA(388, 136, F3, 35) (dual of [136, 48, 36]-code) [i]
8Linear OA(387, 132, F3, 35) (dual of [132, 45, 36]-code) [i]
9Linear OA(386, 128, F3, 35) (dual of [128, 42, 36]-code) [i]
10Linear OA(385, 124, F3, 35) (dual of [124, 39, 36]-code) [i]
11Linear OA(384, 120, F3, 35) (dual of [120, 36, 36]-code) [i]
12Linear OOA(3165, 111, F3, 2, 71) (dual of [(111, 2), 57, 72]-NRT-code) [i]Concatenation of Two NRT-Codes
13Linear OOA(3162, 108, F3, 2, 71) (dual of [(108, 2), 54, 72]-NRT-code) [i]
14Linear OOA(3159, 105, F3, 2, 71) (dual of [(105, 2), 51, 72]-NRT-code) [i]
15Linear OOA(3156, 102, F3, 2, 71) (dual of [(102, 2), 48, 72]-NRT-code) [i]
16Linear OOA(3153, 99, F3, 2, 71) (dual of [(99, 2), 45, 72]-NRT-code) [i]
17Linear OOA(3150, 96, F3, 2, 71) (dual of [(96, 2), 42, 72]-NRT-code) [i]
18Linear OOA(3147, 93, F3, 2, 71) (dual of [(93, 2), 39, 72]-NRT-code) [i]
19Linear OOA(3144, 90, F3, 2, 71) (dual of [(90, 2), 36, 72]-NRT-code) [i]
20Linear OA(2797, 117, F27, 72) (dual of [117, 20, 73]-code) [i]Construction X with Algebraic-Geometric Codes
21Linear OA(2796, 117, F27, 71) (dual of [117, 21, 72]-code) [i]
22Linear OA(2795, 117, F27, 70) (dual of [117, 22, 71]-code) [i]
23Linear OA(2794, 117, F27, 69) (dual of [117, 23, 70]-code) [i]
24Linear OA(2793, 117, F27, 68) (dual of [117, 24, 69]-code) [i]
25Linear OA(2792, 117, F27, 67) (dual of [117, 25, 68]-code) [i]
26Linear OA(2791, 117, F27, 66) (dual of [117, 26, 67]-code) [i]
27Linear OA(2790, 117, F27, 65) (dual of [117, 27, 66]-code) [i]
28Linear OA(2789, 117, F27, 64) (dual of [117, 28, 65]-code) [i]
29Linear OA(2788, 117, F27, 63) (dual of [117, 29, 64]-code) [i]
30Linear OA(2787, 117, F27, 62) (dual of [117, 30, 63]-code) [i]
31Linear OA(2786, 117, F27, 61) (dual of [117, 31, 62]-code) [i]
32Linear OA(2785, 117, F27, 60) (dual of [117, 32, 61]-code) [i]
33Linear OA(2784, 117, F27, 59) (dual of [117, 33, 60]-code) [i]
34Linear OA(2783, 117, F27, 58) (dual of [117, 34, 59]-code) [i]
35Linear OA(2782, 117, F27, 57) (dual of [117, 35, 58]-code) [i]
36Linear OA(2781, 117, F27, 56) (dual of [117, 36, 57]-code) [i]
37Linear OA(2780, 117, F27, 55) (dual of [117, 37, 56]-code) [i]
38Linear OA(2779, 117, F27, 54) (dual of [117, 38, 55]-code) [i]
39Linear OA(2778, 117, F27, 53) (dual of [117, 39, 54]-code) [i]
40Linear OA(2777, 117, F27, 52) (dual of [117, 40, 53]-code) [i]
41Linear OA(2776, 117, F27, 51) (dual of [117, 41, 52]-code) [i]
42Linear OA(2775, 117, F27, 50) (dual of [117, 42, 51]-code) [i]
43Linear OA(2774, 117, F27, 49) (dual of [117, 43, 50]-code) [i]
44Linear OA(2773, 117, F27, 48) (dual of [117, 44, 49]-code) [i]
45Linear OA(2772, 117, F27, 47) (dual of [117, 45, 48]-code) [i]
46Linear OA(2771, 117, F27, 46) (dual of [117, 46, 47]-code) [i]
47Linear OA(2770, 117, F27, 45) (dual of [117, 47, 46]-code) [i]
48Linear OA(2769, 117, F27, 44) (dual of [117, 48, 45]-code) [i]
49Linear OA(2768, 117, F27, 43) (dual of [117, 49, 44]-code) [i]
50Linear OA(2767, 117, F27, 42) (dual of [117, 50, 43]-code) [i]
51Linear OA(2766, 117, F27, 41) (dual of [117, 51, 42]-code) [i]
52Linear OA(2765, 117, F27, 40) (dual of [117, 52, 41]-code) [i]
53Linear OA(2764, 117, F27, 39) (dual of [117, 53, 40]-code) [i]
54Linear OA(2763, 117, F27, 38) (dual of [117, 54, 39]-code) [i]
55Linear OA(2762, 117, F27, 37) (dual of [117, 55, 38]-code) [i]
56Linear OA(2761, 117, F27, 36) (dual of [117, 56, 37]-code) [i]
57Linear OA(2760, 117, F27, 35) (dual of [117, 57, 36]-code) [i]
58Linear OA(2759, 117, F27, 34) (dual of [117, 58, 35]-code) [i]
59Linear OA(27102, 123, F27, 75) (dual of [123, 21, 76]-code) [i]
60Linear OA(27101, 123, F27, 74) (dual of [123, 22, 75]-code) [i]
61Linear OA(27100, 123, F27, 73) (dual of [123, 23, 74]-code) [i]
62Linear OA(2799, 123, F27, 72) (dual of [123, 24, 73]-code) [i]
63Linear OA(2798, 123, F27, 71) (dual of [123, 25, 72]-code) [i]
64Linear OA(2797, 123, F27, 70) (dual of [123, 26, 71]-code) [i]
65Linear OA(2796, 123, F27, 69) (dual of [123, 27, 70]-code) [i]
66Linear OA(2795, 123, F27, 68) (dual of [123, 28, 69]-code) [i]
67Linear OA(2794, 123, F27, 67) (dual of [123, 29, 68]-code) [i]
68Linear OA(2793, 123, F27, 66) (dual of [123, 30, 67]-code) [i]
69Linear OA(2792, 123, F27, 65) (dual of [123, 31, 66]-code) [i]
70Linear OA(2791, 123, F27, 64) (dual of [123, 32, 65]-code) [i]
71Linear OA(2790, 123, F27, 63) (dual of [123, 33, 64]-code) [i]
72Linear OA(2789, 123, F27, 62) (dual of [123, 34, 63]-code) [i]
73Linear OA(2788, 123, F27, 61) (dual of [123, 35, 62]-code) [i]
74Linear OA(2787, 123, F27, 60) (dual of [123, 36, 61]-code) [i]
75Linear OA(2786, 123, F27, 59) (dual of [123, 37, 60]-code) [i]
76Linear OA(2785, 123, F27, 58) (dual of [123, 38, 59]-code) [i]
77Linear OA(2784, 123, F27, 57) (dual of [123, 39, 58]-code) [i]
78Linear OA(2783, 123, F27, 56) (dual of [123, 40, 57]-code) [i]
79Linear OA(2782, 123, F27, 55) (dual of [123, 41, 56]-code) [i]
80Linear OA(2781, 123, F27, 54) (dual of [123, 42, 55]-code) [i]
81Linear OA(2780, 123, F27, 53) (dual of [123, 43, 54]-code) [i]
82Linear OA(2779, 123, F27, 52) (dual of [123, 44, 53]-code) [i]
83Linear OA(2778, 123, F27, 51) (dual of [123, 45, 52]-code) [i]
84Linear OA(2777, 123, F27, 50) (dual of [123, 46, 51]-code) [i]
85Linear OA(2776, 123, F27, 49) (dual of [123, 47, 50]-code) [i]
86Linear OA(2775, 123, F27, 48) (dual of [123, 48, 49]-code) [i]
87Linear OA(2774, 123, F27, 47) (dual of [123, 49, 48]-code) [i]
88Linear OA(2773, 123, F27, 46) (dual of [123, 50, 47]-code) [i]
89Linear OA(2772, 123, F27, 45) (dual of [123, 51, 46]-code) [i]
90Linear OA(2771, 123, F27, 44) (dual of [123, 52, 45]-code) [i]
91Linear OA(2770, 123, F27, 43) (dual of [123, 53, 44]-code) [i]
92Linear OA(2769, 123, F27, 42) (dual of [123, 54, 43]-code) [i]
93Linear OA(2768, 123, F27, 41) (dual of [123, 55, 42]-code) [i]
94Linear OA(2767, 123, F27, 40) (dual of [123, 56, 41]-code) [i]
95Linear OA(2766, 123, F27, 39) (dual of [123, 57, 40]-code) [i]
96Linear OA(2765, 123, F27, 38) (dual of [123, 58, 39]-code) [i]
97Linear OA(27107, 129, F27, 79) (dual of [129, 22, 80]-code) [i]
98Linear OA(27106, 129, F27, 78) (dual of [129, 23, 79]-code) [i]
99Linear OA(27105, 129, F27, 77) (dual of [129, 24, 78]-code) [i]
100Linear OA(27104, 129, F27, 76) (dual of [129, 25, 77]-code) [i]
101Linear OA(27103, 129, F27, 75) (dual of [129, 26, 76]-code) [i]
102Linear OA(27102, 129, F27, 74) (dual of [129, 27, 75]-code) [i]
103Linear OA(27101, 129, F27, 73) (dual of [129, 28, 74]-code) [i]
104Linear OA(27100, 129, F27, 72) (dual of [129, 29, 73]-code) [i]
105Linear OA(2799, 129, F27, 71) (dual of [129, 30, 72]-code) [i]
106Linear OA(2798, 129, F27, 70) (dual of [129, 31, 71]-code) [i]
107Linear OA(2797, 129, F27, 69) (dual of [129, 32, 70]-code) [i]
108Linear OA(2796, 129, F27, 68) (dual of [129, 33, 69]-code) [i]
109Linear OA(2795, 129, F27, 67) (dual of [129, 34, 68]-code) [i]
110Linear OA(2794, 129, F27, 66) (dual of [129, 35, 67]-code) [i]
111Linear OA(2793, 129, F27, 65) (dual of [129, 36, 66]-code) [i]
112Linear OA(2792, 129, F27, 64) (dual of [129, 37, 65]-code) [i]
113Linear OA(2791, 129, F27, 63) (dual of [129, 38, 64]-code) [i]
114Linear OA(2790, 129, F27, 62) (dual of [129, 39, 63]-code) [i]
115Linear OA(2789, 129, F27, 61) (dual of [129, 40, 62]-code) [i]
116Linear OA(2788, 129, F27, 60) (dual of [129, 41, 61]-code) [i]
117Linear OA(2787, 129, F27, 59) (dual of [129, 42, 60]-code) [i]
118Linear OA(2786, 129, F27, 58) (dual of [129, 43, 59]-code) [i]
119Linear OA(2785, 129, F27, 57) (dual of [129, 44, 58]-code) [i]
120Linear OA(2784, 129, F27, 56) (dual of [129, 45, 57]-code) [i]
121Linear OA(2783, 129, F27, 55) (dual of [129, 46, 56]-code) [i]
122Linear OA(2782, 129, F27, 54) (dual of [129, 47, 55]-code) [i]
123Linear OA(2781, 129, F27, 53) (dual of [129, 48, 54]-code) [i]
124Linear OA(2780, 129, F27, 52) (dual of [129, 49, 53]-code) [i]
125Linear OA(2779, 129, F27, 51) (dual of [129, 50, 52]-code) [i]
126Linear OA(2778, 129, F27, 50) (dual of [129, 51, 51]-code) [i]
127Linear OA(2777, 129, F27, 49) (dual of [129, 52, 50]-code) [i]
128Linear OA(2776, 129, F27, 48) (dual of [129, 53, 49]-code) [i]
129Linear OA(2775, 129, F27, 47) (dual of [129, 54, 48]-code) [i]
130Linear OA(2774, 129, F27, 46) (dual of [129, 55, 47]-code) [i]
131Linear OA(2795, 795, F27, 35) (dual of [795, 700, 36]-code) [i](u, u−v, u+v+w)-Construction
132Linear OA(2796, 805, F27, 35) (dual of [805, 709, 36]-code) [i]
133Linear OA(2793, 795, F27, 34) (dual of [795, 702, 35]-code) [i]
134Linear OA(2794, 805, F27, 34) (dual of [805, 711, 35]-code) [i]