Information on Result #622961

Linear OA(2711, 38, F27, 10) (dual of [38, 27, 11]-code), using extended algebraic-geometric code AGe(F,27P) 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(2752, 768, F27, 21) (dual of [768, 716, 22]-code) [i](u, u+v)-Construction
2Linear OA(2772, 19722, F27, 21) (dual of [19722, 19650, 22]-code) [i]
3Linear OA(2792, 531480, F27, 21) (dual of [531480, 531388, 22]-code) [i]
4Linear OA(2750, 767, F27, 20) (dual of [767, 717, 21]-code) [i]
5Linear OA(2769, 19721, F27, 20) (dual of [19721, 19652, 21]-code) [i]
6Linear OA(2788, 531479, F27, 20) (dual of [531479, 531391, 21]-code) [i]
7Linear OA(2752, 770, F27, 21) (dual of [770, 718, 22]-code) [i]
8Linear OA(2750, 770, F27, 20) (dual of [770, 720, 21]-code) [i]
9Linear OA(365, 128, F3, 21) (dual of [128, 63, 22]-code) [i]Concatenation of Two Codes
10Linear OA(2788, 805, F27, 32) (dual of [805, 717, 33]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(2789, 815, F27, 32) (dual of [815, 726, 33]-code) [i]
12Linear OA(2785, 805, F27, 31) (dual of [805, 720, 32]-code) [i]
13Linear OA(2786, 815, F27, 31) (dual of [815, 729, 32]-code) [i]
14Linear OA(2783, 805, F27, 30) (dual of [805, 722, 31]-code) [i]
15Linear OA(2759, 796, F27, 21) (dual of [796, 737, 22]-code) [i]
16Linear OA(2779, 19750, F27, 21) (dual of [19750, 19671, 22]-code) [i]
17Linear OA(2780, 19760, F27, 21) (dual of [19760, 19680, 22]-code) [i]
18Linear OA(2799, 531508, F27, 21) (dual of [531508, 531409, 22]-code) [i]
19Linear OA(27100, 531518, F27, 21) (dual of [531518, 531418, 22]-code) [i]
20Linear OA(2756, 795, F27, 20) (dual of [795, 739, 21]-code) [i]
21Linear OA(2775, 19749, F27, 20) (dual of [19749, 19674, 21]-code) [i]
22Linear OA(2776, 19759, F27, 20) (dual of [19759, 19683, 21]-code) [i]
23Linear OA(2794, 531507, F27, 20) (dual of [531507, 531413, 21]-code) [i]
24Linear OA(2795, 531517, F27, 20) (dual of [531517, 531422, 21]-code) [i]
25Linear OA(2774, 768, F27, 32) (dual of [768, 694, 33]-code) [i]Construction XX with Cyclic Codes
26Linear OA(2776, 768, F27, 33) (dual of [768, 692, 34]-code) [i]
27Linear OA(2777, 771, F27, 33) (dual of [771, 694, 34]-code) [i]
28Linear OA(2784, 784, F27, 34) (dual of [784, 700, 35]-code) [i]
29Linear OA(2778, 768, F27, 34) (dual of [768, 690, 35]-code) [i]
30Linear OA(2779, 771, F27, 34) (dual of [771, 692, 35]-code) [i]
31Linear OA(2780, 774, F27, 34) (dual of [774, 694, 35]-code) [i]
32Linear OA(2786, 784, F27, 35) (dual of [784, 698, 36]-code) [i]
33Linear OA(2780, 768, F27, 35) (dual of [768, 688, 36]-code) [i]
34Linear OA(2781, 771, F27, 35) (dual of [771, 690, 36]-code) [i]
35Linear OA(2782, 774, F27, 35) (dual of [774, 692, 36]-code) [i]
36Linear OA(2783, 777, F27, 35) (dual of [777, 694, 36]-code) [i]
37Linear OA(2789, 786, F27, 36) (dual of [786, 697, 37]-code) [i]
38Linear OA(2788, 784, F27, 36) (dual of [784, 696, 37]-code) [i]
39Linear OA(2782, 768, F27, 36) (dual of [768, 686, 37]-code) [i]
40Linear OA(2783, 771, F27, 36) (dual of [771, 688, 37]-code) [i]
41Linear OA(2784, 774, F27, 36) (dual of [774, 690, 37]-code) [i]
42Linear OA(2785, 777, F27, 36) (dual of [777, 692, 37]-code) [i]
43Linear OA(2786, 780, F27, 36) (dual of [780, 694, 37]-code) [i]
44Linear OA(2791, 786, F27, 37) (dual of [786, 695, 38]-code) [i]
45Linear OA(2790, 784, F27, 37) (dual of [784, 694, 38]-code) [i]
46Linear OA(2784, 768, F27, 37) (dual of [768, 684, 38]-code) [i]
47Linear OA(2785, 771, F27, 37) (dual of [771, 686, 38]-code) [i]
48Linear OA(2786, 774, F27, 37) (dual of [774, 688, 38]-code) [i]
49Linear OA(2787, 777, F27, 37) (dual of [777, 690, 38]-code) [i]
50Linear OA(2788, 780, F27, 37) (dual of [780, 692, 38]-code) [i]
51Linear OA(2789, 783, F27, 37) (dual of [783, 694, 38]-code) [i]
52Linear OA(2794, 788, F27, 38) (dual of [788, 694, 39]-code) [i]
53Linear OA(2794, 788, F27, 38) (dual of [788, 694, 39]-code) [i]
54Linear OA(2786, 768, F27, 38) (dual of [768, 682, 39]-code) [i]
55Linear OA(2787, 771, F27, 38) (dual of [771, 684, 39]-code) [i]
56Linear OA(2788, 774, F27, 38) (dual of [774, 686, 39]-code) [i]
57Linear OA(2789, 777, F27, 38) (dual of [777, 688, 39]-code) [i]
58Linear OA(2790, 780, F27, 38) (dual of [780, 690, 39]-code) [i]
59Linear OA(2791, 783, F27, 38) (dual of [783, 692, 39]-code) [i]
60Linear OA(2792, 786, F27, 38) (dual of [786, 694, 39]-code) [i]
61Linear OA(2788, 768, F27, 39) (dual of [768, 680, 40]-code) [i]
62Linear OA(2789, 771, F27, 39) (dual of [771, 682, 40]-code) [i]
63Linear OA(2790, 774, F27, 39) (dual of [774, 684, 40]-code) [i]
64Linear OA(2791, 777, F27, 39) (dual of [777, 686, 40]-code) [i]
65Linear OA(2792, 780, F27, 39) (dual of [780, 688, 40]-code) [i]
66Linear OA(2793, 783, F27, 39) (dual of [783, 690, 40]-code) [i]
67Linear OA(2794, 786, F27, 39) (dual of [786, 692, 40]-code) [i]
68Linear OA(2795, 788, F27, 39) (dual of [788, 693, 40]-code) [i]
69Linear OA(2790, 768, F27, 40) (dual of [768, 678, 41]-code) [i]
70Linear OA(2791, 771, F27, 40) (dual of [771, 680, 41]-code) [i]
71Linear OA(2792, 774, F27, 40) (dual of [774, 682, 41]-code) [i]
72Linear OA(2793, 777, F27, 40) (dual of [777, 684, 41]-code) [i]
73Linear OA(2794, 780, F27, 40) (dual of [780, 686, 41]-code) [i]
74Linear OA(2795, 783, F27, 40) (dual of [783, 688, 41]-code) [i]
75Linear OA(2796, 786, F27, 40) (dual of [786, 690, 41]-code) [i]
76Linear OA(2797, 788, F27, 40) (dual of [788, 691, 41]-code) [i]
77Linear OA(2793, 771, F27, 41) (dual of [771, 678, 42]-code) [i]
78Linear OA(2794, 774, F27, 41) (dual of [774, 680, 42]-code) [i]
79Linear OA(2795, 777, F27, 41) (dual of [777, 682, 42]-code) [i]
80Linear OA(2796, 780, F27, 41) (dual of [780, 684, 42]-code) [i]
81Linear OA(2797, 783, F27, 41) (dual of [783, 686, 42]-code) [i]
82Linear OA(2798, 786, F27, 41) (dual of [786, 688, 42]-code) [i]
83Linear OA(2799, 788, F27, 41) (dual of [788, 689, 42]-code) [i]
84Linear OA(2796, 774, F27, 42) (dual of [774, 678, 43]-code) [i]
85Linear OA(2797, 777, F27, 42) (dual of [777, 680, 43]-code) [i]
86Linear OA(2798, 780, F27, 42) (dual of [780, 682, 43]-code) [i]
87Linear OA(2799, 783, F27, 42) (dual of [783, 684, 43]-code) [i]
88Linear OA(27100, 786, F27, 42) (dual of [786, 686, 43]-code) [i]
89Linear OA(27101, 788, F27, 42) (dual of [788, 687, 43]-code) [i]
90Linear OA(2799, 777, F27, 43) (dual of [777, 678, 44]-code) [i]
91Linear OA(27100, 780, F27, 43) (dual of [780, 680, 44]-code) [i]
92Linear OA(27101, 783, F27, 43) (dual of [783, 682, 44]-code) [i]
93Linear OA(27102, 786, F27, 43) (dual of [786, 684, 44]-code) [i]
94Linear OA(27103, 788, F27, 43) (dual of [788, 685, 44]-code) [i]
95Linear OA(27102, 780, F27, 44) (dual of [780, 678, 45]-code) [i]
96Linear OA(27103, 783, F27, 44) (dual of [783, 680, 45]-code) [i]
97Linear OA(27104, 786, F27, 44) (dual of [786, 682, 45]-code) [i]
98Linear OA(27105, 788, F27, 44) (dual of [788, 683, 45]-code) [i]
99Linear OA(27105, 783, F27, 45) (dual of [783, 678, 46]-code) [i]
100Linear OA(27106, 786, F27, 45) (dual of [786, 680, 46]-code) [i]
101Linear OA(27107, 788, F27, 45) (dual of [788, 681, 46]-code) [i]
102Linear OA(27106, 780, F27, 46) (dual of [780, 674, 47]-code) [i]
103Linear OA(27108, 786, F27, 46) (dual of [786, 678, 47]-code) [i]
104Linear OA(27109, 788, F27, 46) (dual of [788, 679, 47]-code) [i]
105Linear OA(27108, 780, F27, 47) (dual of [780, 672, 48]-code) [i]
106Linear OA(27109, 783, F27, 47) (dual of [783, 674, 48]-code) [i]
107Linear OA(27109, 784, F27, 47) (dual of [784, 675, 48]-code) [i]
108Linear OA(2781, 759, F27, 37) (dual of [759, 678, 38]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
109Linear OA(2779, 759, F27, 36) (dual of [759, 680, 37]-code) [i]
110Linear OA(2777, 759, F27, 35) (dual of [759, 682, 36]-code) [i]
111Linear OA(2775, 759, F27, 34) (dual of [759, 684, 35]-code) [i]
112Linear OA(2773, 759, F27, 33) (dual of [759, 686, 34]-code) [i]
113Linear OA(2771, 759, F27, 32) (dual of [759, 688, 33]-code) [i]
114Linear OA(2769, 759, F27, 31) (dual of [759, 690, 32]-code) [i]
115Linear OA(2767, 759, F27, 30) (dual of [759, 692, 31]-code) [i]
116Linear OA(2765, 759, F27, 29) (dual of [759, 694, 30]-code) [i]
117Linear OA(2764, 760, F27, 28) (dual of [760, 696, 29]-code) [i]
118Linear OA(27109, 762, F27, 51) (dual of [762, 653, 52]-code) [i]
119Linear OA(27107, 762, F27, 50) (dual of [762, 655, 51]-code) [i]
120Linear OA(27105, 762, F27, 49) (dual of [762, 657, 50]-code) [i]
121Linear OA(27103, 762, F27, 48) (dual of [762, 659, 49]-code) [i]
122Linear OA(27101, 762, F27, 47) (dual of [762, 661, 48]-code) [i]
123Linear OA(2799, 762, F27, 46) (dual of [762, 663, 47]-code) [i]
124Linear OA(2797, 762, F27, 45) (dual of [762, 665, 46]-code) [i]
125Linear OA(2795, 762, F27, 44) (dual of [762, 667, 45]-code) [i]
126Linear OA(2793, 762, F27, 43) (dual of [762, 669, 44]-code) [i]
127Linear OA(2791, 762, F27, 42) (dual of [762, 671, 43]-code) [i]
128Linear OA(2789, 762, F27, 41) (dual of [762, 673, 42]-code) [i]
129Linear OA(2787, 762, F27, 40) (dual of [762, 675, 41]-code) [i]
130Linear OA(2785, 761, F27, 39) (dual of [761, 676, 40]-code) [i]
131Linear OA(2762, 762, F27, 26) (dual of [762, 700, 27]-code) [i]
132Linear OA(2760, 762, F27, 25) (dual of [762, 702, 26]-code) [i]
133Linear OA(2758, 762, F27, 24) (dual of [762, 704, 25]-code) [i]
134Linear OA(2756, 762, F27, 23) (dual of [762, 706, 24]-code) [i]
135Linear OA(2754, 762, F27, 22) (dual of [762, 708, 23]-code) [i]