Information on Result #622969

Linear OA(2719, 38, F27, 18) (dual of [38, 19, 19]-code), using extended algebraic-geometric code AGe(F,19P) 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(2789, 767, F27, 37) (dual of [767, 678, 38]-code) [i](u, u+v)-Construction
2Linear OA(2787, 767, F27, 36) (dual of [767, 680, 37]-code) [i]
3Linear OA(395, 152, F3, 37) (dual of [152, 57, 38]-code) [i]Concatenation of Two Codes
4Linear OA(394, 148, F3, 37) (dual of [148, 54, 38]-code) [i]
5Linear OA(393, 144, F3, 37) (dual of [144, 51, 38]-code) [i]
6Linear OA(392, 140, F3, 37) (dual of [140, 48, 38]-code) [i]
7Linear OA(391, 136, F3, 37) (dual of [136, 45, 38]-code) [i]
8Linear OA(390, 132, F3, 37) (dual of [132, 42, 38]-code) [i]
9Linear OA(389, 128, F3, 37) (dual of [128, 39, 38]-code) [i]
10Linear OA(388, 124, F3, 37) (dual of [124, 36, 38]-code) [i]
11Linear OA(387, 120, F3, 37) (dual of [120, 33, 38]-code) [i]
12Linear OA(3207, 240, F3, 94) (dual of [240, 33, 95]-code) [i]
13Linear OA(3237, 270, F3, 113) (dual of [270, 33, 114]-code) [i]
14Linear OOA(3171, 114, F3, 2, 75) (dual of [(114, 2), 57, 76]-NRT-code) [i]Concatenation of Two NRT-Codes
15Linear OOA(3168, 111, F3, 2, 75) (dual of [(111, 2), 54, 76]-NRT-code) [i]
16Linear OOA(3165, 108, F3, 2, 75) (dual of [(108, 2), 51, 76]-NRT-code) [i]
17Linear OOA(3162, 105, F3, 2, 75) (dual of [(105, 2), 48, 76]-NRT-code) [i]
18Linear OOA(3159, 102, F3, 2, 75) (dual of [(102, 2), 45, 76]-NRT-code) [i]
19Linear OOA(3156, 99, F3, 2, 75) (dual of [(99, 2), 42, 76]-NRT-code) [i]
20Linear OOA(3153, 96, F3, 2, 75) (dual of [(96, 2), 39, 76]-NRT-code) [i]
21Linear OOA(3150, 93, F3, 2, 75) (dual of [(93, 2), 36, 76]-NRT-code) [i]
22Linear OOA(3147, 90, F3, 2, 75) (dual of [(90, 2), 33, 76]-NRT-code) [i]
23Linear OOA(3212, 124, F3, 2, 113) (dual of [(124, 2), 36, 114]-NRT-code) [i]
24Linear OOA(3207, 120, F3, 2, 113) (dual of [(120, 2), 33, 114]-NRT-code) [i]
25Linear OOA(3237, 90, F3, 3, 132) (dual of [(90, 3), 33, 133]-NRT-code) [i]
26Linear OA(2798, 119, F27, 72) (dual of [119, 21, 73]-code) [i]Construction X with Algebraic-Geometric Codes
27Linear OA(2797, 119, F27, 71) (dual of [119, 22, 72]-code) [i]
28Linear OA(2796, 119, F27, 70) (dual of [119, 23, 71]-code) [i]
29Linear OA(2795, 119, F27, 69) (dual of [119, 24, 70]-code) [i]
30Linear OA(2794, 119, F27, 68) (dual of [119, 25, 69]-code) [i]
31Linear OA(2793, 119, F27, 67) (dual of [119, 26, 68]-code) [i]
32Linear OA(2792, 119, F27, 66) (dual of [119, 27, 67]-code) [i]
33Linear OA(2791, 119, F27, 65) (dual of [119, 28, 66]-code) [i]
34Linear OA(2790, 119, F27, 64) (dual of [119, 29, 65]-code) [i]
35Linear OA(2789, 119, F27, 63) (dual of [119, 30, 64]-code) [i]
36Linear OA(2788, 119, F27, 62) (dual of [119, 31, 63]-code) [i]
37Linear OA(2787, 119, F27, 61) (dual of [119, 32, 62]-code) [i]
38Linear OA(2786, 119, F27, 60) (dual of [119, 33, 61]-code) [i]
39Linear OA(2785, 119, F27, 59) (dual of [119, 34, 60]-code) [i]
40Linear OA(2784, 119, F27, 58) (dual of [119, 35, 59]-code) [i]
41Linear OA(2783, 119, F27, 57) (dual of [119, 36, 58]-code) [i]
42Linear OA(2782, 119, F27, 56) (dual of [119, 37, 57]-code) [i]
43Linear OA(2781, 119, F27, 55) (dual of [119, 38, 56]-code) [i]
44Linear OA(2780, 119, F27, 54) (dual of [119, 39, 55]-code) [i]
45Linear OA(2779, 119, F27, 53) (dual of [119, 40, 54]-code) [i]
46Linear OA(2778, 119, F27, 52) (dual of [119, 41, 53]-code) [i]
47Linear OA(2777, 119, F27, 51) (dual of [119, 42, 52]-code) [i]
48Linear OA(2776, 119, F27, 50) (dual of [119, 43, 51]-code) [i]
49Linear OA(2775, 119, F27, 49) (dual of [119, 44, 50]-code) [i]
50Linear OA(2774, 119, F27, 48) (dual of [119, 45, 49]-code) [i]
51Linear OA(2773, 119, F27, 47) (dual of [119, 46, 48]-code) [i]
52Linear OA(2772, 119, F27, 46) (dual of [119, 47, 47]-code) [i]
53Linear OA(2771, 119, F27, 45) (dual of [119, 48, 46]-code) [i]
54Linear OA(2770, 119, F27, 44) (dual of [119, 49, 45]-code) [i]
55Linear OA(2769, 119, F27, 43) (dual of [119, 50, 44]-code) [i]
56Linear OA(2768, 119, F27, 42) (dual of [119, 51, 43]-code) [i]
57Linear OA(2767, 119, F27, 41) (dual of [119, 52, 42]-code) [i]
58Linear OA(2766, 119, F27, 40) (dual of [119, 53, 41]-code) [i]
59Linear OA(2765, 119, F27, 39) (dual of [119, 54, 40]-code) [i]
60Linear OA(2764, 119, F27, 38) (dual of [119, 55, 39]-code) [i]
61Linear OA(2763, 119, F27, 37) (dual of [119, 56, 38]-code) [i]
62Linear OA(2799, 121, F27, 72) (dual of [121, 22, 73]-code) [i]
63Linear OA(2798, 121, F27, 71) (dual of [121, 23, 72]-code) [i]
64Linear OA(2797, 121, F27, 70) (dual of [121, 24, 71]-code) [i]
65Linear OA(2796, 121, F27, 69) (dual of [121, 25, 70]-code) [i]
66Linear OA(2795, 121, F27, 68) (dual of [121, 26, 69]-code) [i]
67Linear OA(2794, 121, F27, 67) (dual of [121, 27, 68]-code) [i]
68Linear OA(2793, 121, F27, 66) (dual of [121, 28, 67]-code) [i]
69Linear OA(2792, 121, F27, 65) (dual of [121, 29, 66]-code) [i]
70Linear OA(2791, 121, F27, 64) (dual of [121, 30, 65]-code) [i]
71Linear OA(2790, 121, F27, 63) (dual of [121, 31, 64]-code) [i]
72Linear OA(2789, 121, F27, 62) (dual of [121, 32, 63]-code) [i]
73Linear OA(2788, 121, F27, 61) (dual of [121, 33, 62]-code) [i]
74Linear OA(2787, 121, F27, 60) (dual of [121, 34, 61]-code) [i]
75Linear OA(2786, 121, F27, 59) (dual of [121, 35, 60]-code) [i]
76Linear OA(2785, 121, F27, 58) (dual of [121, 36, 59]-code) [i]
77Linear OA(2784, 121, F27, 57) (dual of [121, 37, 58]-code) [i]
78Linear OA(2783, 121, F27, 56) (dual of [121, 38, 57]-code) [i]
79Linear OA(2782, 121, F27, 55) (dual of [121, 39, 56]-code) [i]
80Linear OA(2781, 121, F27, 54) (dual of [121, 40, 55]-code) [i]
81Linear OA(2780, 121, F27, 53) (dual of [121, 41, 54]-code) [i]
82Linear OA(2779, 121, F27, 52) (dual of [121, 42, 53]-code) [i]
83Linear OA(2778, 121, F27, 51) (dual of [121, 43, 52]-code) [i]
84Linear OA(2777, 121, F27, 50) (dual of [121, 44, 51]-code) [i]
85Linear OA(2776, 121, F27, 49) (dual of [121, 45, 50]-code) [i]
86Linear OA(2775, 121, F27, 48) (dual of [121, 46, 49]-code) [i]
87Linear OA(2774, 121, F27, 47) (dual of [121, 47, 48]-code) [i]
88Linear OA(2773, 121, F27, 46) (dual of [121, 48, 47]-code) [i]
89Linear OA(2772, 121, F27, 45) (dual of [121, 49, 46]-code) [i]
90Linear OA(2771, 121, F27, 44) (dual of [121, 50, 45]-code) [i]
91Linear OA(2770, 121, F27, 43) (dual of [121, 51, 44]-code) [i]
92Linear OA(2769, 121, F27, 42) (dual of [121, 52, 43]-code) [i]
93Linear OA(2768, 121, F27, 41) (dual of [121, 53, 42]-code) [i]
94Linear OA(2767, 121, F27, 40) (dual of [121, 54, 41]-code) [i]
95Linear OA(2766, 121, F27, 39) (dual of [121, 55, 40]-code) [i]
96Linear OA(2765, 121, F27, 38) (dual of [121, 56, 39]-code) [i]
97Linear OA(27103, 125, F27, 75) (dual of [125, 22, 76]-code) [i]
98Linear OA(27102, 125, F27, 74) (dual of [125, 23, 75]-code) [i]
99Linear OA(27101, 125, F27, 73) (dual of [125, 24, 74]-code) [i]
100Linear OA(27100, 125, F27, 72) (dual of [125, 25, 73]-code) [i]
101Linear OA(2799, 125, F27, 71) (dual of [125, 26, 72]-code) [i]
102Linear OA(2798, 125, F27, 70) (dual of [125, 27, 71]-code) [i]
103Linear OA(2797, 125, F27, 69) (dual of [125, 28, 70]-code) [i]
104Linear OA(2796, 125, F27, 68) (dual of [125, 29, 69]-code) [i]
105Linear OA(2795, 125, F27, 67) (dual of [125, 30, 68]-code) [i]
106Linear OA(2794, 125, F27, 66) (dual of [125, 31, 67]-code) [i]
107Linear OA(2793, 125, F27, 65) (dual of [125, 32, 66]-code) [i]
108Linear OA(2792, 125, F27, 64) (dual of [125, 33, 65]-code) [i]
109Linear OA(2791, 125, F27, 63) (dual of [125, 34, 64]-code) [i]
110Linear OA(2790, 125, F27, 62) (dual of [125, 35, 63]-code) [i]
111Linear OA(2789, 125, F27, 61) (dual of [125, 36, 62]-code) [i]
112Linear OA(2788, 125, F27, 60) (dual of [125, 37, 61]-code) [i]
113Linear OA(2787, 125, F27, 59) (dual of [125, 38, 60]-code) [i]
114Linear OA(2786, 125, F27, 58) (dual of [125, 39, 59]-code) [i]
115Linear OA(2785, 125, F27, 57) (dual of [125, 40, 58]-code) [i]
116Linear OA(2784, 125, F27, 56) (dual of [125, 41, 57]-code) [i]
117Linear OA(2783, 125, F27, 55) (dual of [125, 42, 56]-code) [i]
118Linear OA(2782, 125, F27, 54) (dual of [125, 43, 55]-code) [i]
119Linear OA(2781, 125, F27, 53) (dual of [125, 44, 54]-code) [i]
120Linear OA(2780, 125, F27, 52) (dual of [125, 45, 53]-code) [i]
121Linear OA(2779, 125, F27, 51) (dual of [125, 46, 52]-code) [i]
122Linear OA(2778, 125, F27, 50) (dual of [125, 47, 51]-code) [i]
123Linear OA(2777, 125, F27, 49) (dual of [125, 48, 50]-code) [i]
124Linear OA(2776, 125, F27, 48) (dual of [125, 49, 49]-code) [i]
125Linear OA(2775, 125, F27, 47) (dual of [125, 50, 48]-code) [i]
126Linear OA(2774, 125, F27, 46) (dual of [125, 51, 47]-code) [i]
127Linear OA(27109, 131, F27, 80) (dual of [131, 22, 81]-code) [i]
128Linear OA(27108, 131, F27, 79) (dual of [131, 23, 80]-code) [i]
129Linear OA(27107, 131, F27, 78) (dual of [131, 24, 79]-code) [i]
130Linear OA(27106, 131, F27, 77) (dual of [131, 25, 78]-code) [i]
131Linear OA(27105, 131, F27, 76) (dual of [131, 26, 77]-code) [i]
132Linear OA(27104, 131, F27, 75) (dual of [131, 27, 76]-code) [i]
133Linear OA(27103, 131, F27, 74) (dual of [131, 28, 75]-code) [i]
134Linear OA(27102, 131, F27, 73) (dual of [131, 29, 74]-code) [i]
135Linear OA(27101, 131, F27, 72) (dual of [131, 30, 73]-code) [i]
136Linear OA(27100, 131, F27, 71) (dual of [131, 31, 72]-code) [i]
137Linear OA(2799, 131, F27, 70) (dual of [131, 32, 71]-code) [i]
138Linear OA(2798, 131, F27, 69) (dual of [131, 33, 70]-code) [i]
139Linear OA(2797, 131, F27, 68) (dual of [131, 34, 69]-code) [i]
140Linear OA(2796, 131, F27, 67) (dual of [131, 35, 68]-code) [i]
141Linear OA(2795, 131, F27, 66) (dual of [131, 36, 67]-code) [i]
142Linear OA(2794, 131, F27, 65) (dual of [131, 37, 66]-code) [i]
143Linear OA(2793, 131, F27, 64) (dual of [131, 38, 65]-code) [i]
144Linear OA(2792, 131, F27, 63) (dual of [131, 39, 64]-code) [i]
145Linear OA(2791, 131, F27, 62) (dual of [131, 40, 63]-code) [i]
146Linear OA(2790, 131, F27, 61) (dual of [131, 41, 62]-code) [i]
147Linear OA(2789, 131, F27, 60) (dual of [131, 42, 61]-code) [i]
148Linear OA(2788, 131, F27, 59) (dual of [131, 43, 60]-code) [i]
149Linear OA(2787, 131, F27, 58) (dual of [131, 44, 59]-code) [i]
150Linear OA(2786, 131, F27, 57) (dual of [131, 45, 58]-code) [i]
151Linear OA(2785, 131, F27, 56) (dual of [131, 46, 57]-code) [i]
152Linear OA(2784, 131, F27, 55) (dual of [131, 47, 56]-code) [i]
153Linear OA(2783, 131, F27, 54) (dual of [131, 48, 55]-code) [i]
154Linear OA(2782, 131, F27, 53) (dual of [131, 49, 54]-code) [i]
155Linear OA(2781, 131, F27, 52) (dual of [131, 50, 53]-code) [i]
156Linear OA(2780, 131, F27, 51) (dual of [131, 51, 52]-code) [i]
157Linear OA(2779, 131, F27, 50) (dual of [131, 52, 51]-code) [i]
158Linear OA(2778, 131, F27, 49) (dual of [131, 53, 50]-code) [i]
159Linear OA(2777, 131, F27, 48) (dual of [131, 54, 49]-code) [i]
160Linear OA(2776, 131, F27, 47) (dual of [131, 55, 48]-code) [i]
161Linear OA(2775, 131, F27, 46) (dual of [131, 56, 47]-code) [i]
162Linear OA(27110, 133, F27, 80) (dual of [133, 23, 81]-code) [i]
163Linear OA(27109, 133, F27, 79) (dual of [133, 24, 80]-code) [i]
164Linear OA(27108, 133, F27, 78) (dual of [133, 25, 79]-code) [i]
165Linear OA(27107, 133, F27, 77) (dual of [133, 26, 78]-code) [i]
166Linear OA(27106, 133, F27, 76) (dual of [133, 27, 77]-code) [i]
167Linear OA(27105, 133, F27, 75) (dual of [133, 28, 76]-code) [i]
168Linear OA(27104, 133, F27, 74) (dual of [133, 29, 75]-code) [i]
169Linear OA(27103, 133, F27, 73) (dual of [133, 30, 74]-code) [i]
170Linear OA(27102, 133, F27, 72) (dual of [133, 31, 73]-code) [i]
171Linear OA(27101, 133, F27, 71) (dual of [133, 32, 72]-code) [i]
172Linear OA(27100, 133, F27, 70) (dual of [133, 33, 71]-code) [i]
173Linear OA(2799, 133, F27, 69) (dual of [133, 34, 70]-code) [i]
174Linear OA(2798, 133, F27, 68) (dual of [133, 35, 69]-code) [i]
175Linear OA(2797, 133, F27, 67) (dual of [133, 36, 68]-code) [i]
176Linear OA(2796, 133, F27, 66) (dual of [133, 37, 67]-code) [i]
177Linear OA(2795, 133, F27, 65) (dual of [133, 38, 66]-code) [i]
178Linear OA(2794, 133, F27, 64) (dual of [133, 39, 65]-code) [i]
179Linear OA(2793, 133, F27, 63) (dual of [133, 40, 64]-code) [i]
180Linear OA(2792, 133, F27, 62) (dual of [133, 41, 63]-code) [i]
181Linear OA(2791, 133, F27, 61) (dual of [133, 42, 62]-code) [i]
182Linear OA(2790, 133, F27, 60) (dual of [133, 43, 61]-code) [i]
183Linear OA(2789, 133, F27, 59) (dual of [133, 44, 60]-code) [i]
184Linear OA(2788, 133, F27, 58) (dual of [133, 45, 59]-code) [i]
185Linear OA(2787, 133, F27, 57) (dual of [133, 46, 58]-code) [i]
186Linear OA(2786, 133, F27, 56) (dual of [133, 47, 57]-code) [i]
187Linear OA(2785, 133, F27, 55) (dual of [133, 48, 56]-code) [i]
188Linear OA(2784, 133, F27, 54) (dual of [133, 49, 55]-code) [i]
189Linear OA(2783, 133, F27, 53) (dual of [133, 50, 54]-code) [i]
190Linear OA(2782, 133, F27, 52) (dual of [133, 51, 53]-code) [i]
191Linear OA(2781, 133, F27, 51) (dual of [133, 52, 52]-code) [i]
192Linear OA(2780, 133, F27, 50) (dual of [133, 53, 51]-code) [i]
193Linear OA(2779, 133, F27, 49) (dual of [133, 54, 50]-code) [i]
194Linear OA(2778, 133, F27, 48) (dual of [133, 55, 49]-code) [i]
195Linear OA(27101, 795, F27, 37) (dual of [795, 694, 38]-code) [i](u, u−v, u+v+w)-Construction
196Linear OA(27102, 805, F27, 37) (dual of [805, 703, 38]-code) [i]
197Linear OA(2799, 795, F27, 36) (dual of [795, 696, 37]-code) [i]
198Linear OA(27100, 805, F27, 36) (dual of [805, 705, 37]-code) [i]