Information on Result #623001

Linear OA(2723, 48, F27, 21) (dual of [48, 25, 22]-code), using extended algebraic-geometric code AGe(F,26P) based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, 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(27105, 777, F27, 43) (dual of [777, 672, 44]-code) [i](u, u+v)-Construction
2Linear OA(27103, 777, F27, 42) (dual of [777, 674, 43]-code) [i]
3Linear OA(27105, 130, F27, 72) (dual of [130, 25, 73]-code) [i]Juxtaposition
4Linear OA(3117, 192, F3, 43) (dual of [192, 75, 44]-code) [i]Concatenation of Two Codes
5Linear OA(3116, 188, F3, 43) (dual of [188, 72, 44]-code) [i]
6Linear OA(3115, 184, F3, 43) (dual of [184, 69, 44]-code) [i]
7Linear OA(3114, 180, F3, 43) (dual of [180, 66, 44]-code) [i]
8Linear OA(3113, 176, F3, 43) (dual of [176, 63, 44]-code) [i]
9Linear OA(3112, 172, F3, 43) (dual of [172, 60, 44]-code) [i]
10Linear OA(3111, 168, F3, 43) (dual of [168, 57, 44]-code) [i]
11Linear OA(3110, 164, F3, 43) (dual of [164, 54, 44]-code) [i]
12Linear OA(3109, 160, F3, 43) (dual of [160, 51, 44]-code) [i]
13Linear OOA(3207, 138, F3, 2, 87) (dual of [(138, 2), 69, 88]-NRT-code) [i]Concatenation of Two NRT-Codes
14Linear OOA(3204, 135, F3, 2, 87) (dual of [(135, 2), 66, 88]-NRT-code) [i]
15Linear OOA(3201, 132, F3, 2, 87) (dual of [(132, 2), 63, 88]-NRT-code) [i]
16Linear OOA(3198, 129, F3, 2, 87) (dual of [(129, 2), 60, 88]-NRT-code) [i]
17Linear OOA(3195, 126, F3, 2, 87) (dual of [(126, 2), 57, 88]-NRT-code) [i]
18Linear OOA(3192, 123, F3, 2, 87) (dual of [(123, 2), 54, 88]-NRT-code) [i]
19Linear OOA(3189, 120, F3, 2, 87) (dual of [(120, 2), 51, 88]-NRT-code) [i]
20Linear OA(27102, 126, F27, 72) (dual of [126, 24, 73]-code) [i]Construction X with Algebraic-Geometric Codes
21Linear OA(27101, 126, F27, 71) (dual of [126, 25, 72]-code) [i]
22Linear OA(27100, 126, F27, 70) (dual of [126, 26, 71]-code) [i]
23Linear OA(2799, 126, F27, 69) (dual of [126, 27, 70]-code) [i]
24Linear OA(2798, 126, F27, 68) (dual of [126, 28, 69]-code) [i]
25Linear OA(2797, 126, F27, 67) (dual of [126, 29, 68]-code) [i]
26Linear OA(2796, 126, F27, 66) (dual of [126, 30, 67]-code) [i]
27Linear OA(2795, 126, F27, 65) (dual of [126, 31, 66]-code) [i]
28Linear OA(2794, 126, F27, 64) (dual of [126, 32, 65]-code) [i]
29Linear OA(2793, 126, F27, 63) (dual of [126, 33, 64]-code) [i]
30Linear OA(2792, 126, F27, 62) (dual of [126, 34, 63]-code) [i]
31Linear OA(2791, 126, F27, 61) (dual of [126, 35, 62]-code) [i]
32Linear OA(2790, 126, F27, 60) (dual of [126, 36, 61]-code) [i]
33Linear OA(2789, 126, F27, 59) (dual of [126, 37, 60]-code) [i]
34Linear OA(2788, 126, F27, 58) (dual of [126, 38, 59]-code) [i]
35Linear OA(2787, 126, F27, 57) (dual of [126, 39, 58]-code) [i]
36Linear OA(2786, 126, F27, 56) (dual of [126, 40, 57]-code) [i]
37Linear OA(2785, 126, F27, 55) (dual of [126, 41, 56]-code) [i]
38Linear OA(2784, 126, F27, 54) (dual of [126, 42, 55]-code) [i]
39Linear OA(2783, 126, F27, 53) (dual of [126, 43, 54]-code) [i]
40Linear OA(2782, 126, F27, 52) (dual of [126, 44, 53]-code) [i]
41Linear OA(2781, 126, F27, 51) (dual of [126, 45, 52]-code) [i]
42Linear OA(2780, 126, F27, 50) (dual of [126, 46, 51]-code) [i]
43Linear OA(2779, 126, F27, 49) (dual of [126, 47, 50]-code) [i]
44Linear OA(2778, 126, F27, 48) (dual of [126, 48, 49]-code) [i]
45Linear OA(27107, 132, F27, 75) (dual of [132, 25, 76]-code) [i]
46Linear OA(27106, 132, F27, 74) (dual of [132, 26, 75]-code) [i]
47Linear OA(27105, 132, F27, 73) (dual of [132, 27, 74]-code) [i]
48Linear OA(27104, 132, F27, 72) (dual of [132, 28, 73]-code) [i]
49Linear OA(27103, 132, F27, 71) (dual of [132, 29, 72]-code) [i]
50Linear OA(27102, 132, F27, 70) (dual of [132, 30, 71]-code) [i]
51Linear OA(27101, 132, F27, 69) (dual of [132, 31, 70]-code) [i]
52Linear OA(27100, 132, F27, 68) (dual of [132, 32, 69]-code) [i]
53Linear OA(2799, 132, F27, 67) (dual of [132, 33, 68]-code) [i]
54Linear OA(2798, 132, F27, 66) (dual of [132, 34, 67]-code) [i]
55Linear OA(2797, 132, F27, 65) (dual of [132, 35, 66]-code) [i]
56Linear OA(2796, 132, F27, 64) (dual of [132, 36, 65]-code) [i]
57Linear OA(2795, 132, F27, 63) (dual of [132, 37, 64]-code) [i]
58Linear OA(2794, 132, F27, 62) (dual of [132, 38, 63]-code) [i]
59Linear OA(2793, 132, F27, 61) (dual of [132, 39, 62]-code) [i]
60Linear OA(2792, 132, F27, 60) (dual of [132, 40, 61]-code) [i]
61Linear OA(2791, 132, F27, 59) (dual of [132, 41, 60]-code) [i]
62Linear OA(2790, 132, F27, 58) (dual of [132, 42, 59]-code) [i]
63Linear OA(27110, 138, F27, 77) (dual of [138, 28, 78]-code) [i]
64Linear OA(27109, 138, F27, 76) (dual of [138, 29, 77]-code) [i]
65Linear OA(27108, 138, F27, 75) (dual of [138, 30, 76]-code) [i]
66Linear OA(27107, 138, F27, 74) (dual of [138, 31, 75]-code) [i]
67Linear OA(27106, 138, F27, 73) (dual of [138, 32, 74]-code) [i]
68Linear OA(27105, 138, F27, 72) (dual of [138, 33, 73]-code) [i]
69Linear OA(27104, 138, F27, 71) (dual of [138, 34, 72]-code) [i]
70Linear OA(27103, 138, F27, 70) (dual of [138, 35, 71]-code) [i]
71Linear OA(27102, 138, F27, 69) (dual of [138, 36, 70]-code) [i]
72Linear OA(27101, 138, F27, 68) (dual of [138, 37, 69]-code) [i]
73Linear OA(27100, 138, F27, 67) (dual of [138, 38, 68]-code) [i]
74Linear OA(2799, 138, F27, 66) (dual of [138, 39, 67]-code) [i]
75Linear OA(2798, 138, F27, 65) (dual of [138, 40, 66]-code) [i]
76Linear OA(2797, 138, F27, 64) (dual of [138, 41, 65]-code) [i]
77Linear OA(2796, 138, F27, 63) (dual of [138, 42, 64]-code) [i]
78Linear OA(2795, 138, F27, 62) (dual of [138, 43, 63]-code) [i]
79Linear OA(2794, 138, F27, 61) (dual of [138, 44, 62]-code) [i]
80Linear OA(2793, 138, F27, 60) (dual of [138, 45, 61]-code) [i]
81Linear OA(2792, 138, F27, 59) (dual of [138, 46, 60]-code) [i]
82Linear OA(2791, 138, F27, 58) (dual of [138, 47, 59]-code) [i]