Information on Result #622958

Linear OA(278, 38, F27, 7) (dual of [38, 30, 8]-code), using extended algebraic-geometric code AGe(F,30P) 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(2737, 768, F27, 15) (dual of [768, 731, 16]-code) [i](u, u+v)-Construction
2Linear OA(2751, 19722, F27, 15) (dual of [19722, 19671, 16]-code) [i]
3Linear OA(2765, 531480, F27, 15) (dual of [531480, 531415, 16]-code) [i]
4Linear OA(2735, 767, F27, 14) (dual of [767, 732, 15]-code) [i]
5Linear OA(2748, 19721, F27, 14) (dual of [19721, 19673, 15]-code) [i]
6Linear OA(2761, 531479, F27, 14) (dual of [531479, 531418, 15]-code) [i]
7Linear OA(2711, 66, F27, 7) (dual of [66, 55, 8]-code) [i]
8Linear OA(2737, 770, F27, 15) (dual of [770, 733, 16]-code) [i]
9Linear OA(2751, 19724, F27, 15) (dual of [19724, 19673, 16]-code) [i]
10Linear OA(2765, 531483, F27, 15) (dual of [531483, 531418, 16]-code) [i]
11Linear OA(2735, 770, F27, 14) (dual of [770, 735, 15]-code) [i]
12Linear OA(2748, 19724, F27, 14) (dual of [19724, 19676, 15]-code) [i]
13Linear OA(2761, 531483, F27, 14) (dual of [531483, 531422, 15]-code) [i]
14Linear OA(2717, 766, F27, 7) (dual of [766, 749, 8]-code) [i]Generalized (u, u+v)-Construction
15Linear OA(2765, 806, F27, 23) (dual of [806, 741, 24]-code) [i](u, u−v, u+v+w)-Construction
16Linear OA(2787, 19760, F27, 23) (dual of [19760, 19673, 24]-code) [i]
17Linear OA(2788, 19770, F27, 23) (dual of [19770, 19682, 24]-code) [i]
18Linear OA(27109, 531518, F27, 23) (dual of [531518, 531409, 24]-code) [i]
19Linear OA(27110, 531528, F27, 23) (dual of [531528, 531418, 24]-code) [i]
20Linear OA(2784, 19759, F27, 22) (dual of [19759, 19675, 23]-code) [i]
21Linear OA(27105, 531517, F27, 22) (dual of [531517, 531412, 23]-code) [i]
22Linear OA(2780, 19760, F27, 21) (dual of [19760, 19680, 22]-code) [i]
23Linear OA(27100, 531518, F27, 21) (dual of [531518, 531418, 22]-code) [i]
24Linear OA(2756, 19750, F27, 15) (dual of [19750, 19694, 16]-code) [i]
25Linear OA(2770, 531508, F27, 15) (dual of [531508, 531438, 16]-code) [i]
26Linear OA(2752, 19749, F27, 14) (dual of [19749, 19697, 15]-code) [i]
27Linear OA(2765, 531507, F27, 14) (dual of [531507, 531442, 15]-code) [i]
28Linear OA(27105, 531480, F27, 25) (dual of [531480, 531375, 26]-code) [i]Construction X with Cyclic Codes
29Linear OA(2797, 531480, F27, 23) (dual of [531480, 531383, 24]-code) [i]
30Linear OA(2789, 531480, F27, 21) (dual of [531480, 531391, 22]-code) [i]
31Linear OA(2781, 531480, F27, 19) (dual of [531480, 531399, 20]-code) [i]
32Linear OA(2773, 531480, F27, 17) (dual of [531480, 531407, 18]-code) [i]
33Linear OA(27105, 19716, F27, 33) (dual of [19716, 19611, 34]-code) [i]
34Linear OA(2799, 19716, F27, 31) (dual of [19716, 19617, 32]-code) [i]
35Linear OA(2793, 19716, F27, 29) (dual of [19716, 19623, 30]-code) [i]
36Linear OA(2787, 19716, F27, 27) (dual of [19716, 19629, 28]-code) [i]
37Linear OA(2781, 19716, F27, 25) (dual of [19716, 19635, 26]-code) [i]
38Linear OA(2775, 19716, F27, 23) (dual of [19716, 19641, 24]-code) [i]
39Linear OA(2769, 19716, F27, 21) (dual of [19716, 19647, 22]-code) [i]
40Linear OA(2763, 19716, F27, 19) (dual of [19716, 19653, 20]-code) [i]
41Linear OA(2757, 19716, F27, 17) (dual of [19716, 19659, 18]-code) [i]
42Linear OA(27109, 531479, F27, 26) (dual of [531479, 531370, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
43Linear OA(27101, 531479, F27, 24) (dual of [531479, 531378, 25]-code) [i]
44Linear OA(2793, 531479, F27, 22) (dual of [531479, 531386, 23]-code) [i]
45Linear OA(2785, 531479, F27, 20) (dual of [531479, 531394, 21]-code) [i]
46Linear OA(2777, 531479, F27, 18) (dual of [531479, 531402, 19]-code) [i]
47Linear OA(2769, 531479, F27, 16) (dual of [531479, 531410, 17]-code) [i]
48Linear OA(2784, 19715, F27, 26) (dual of [19715, 19631, 27]-code) [i]
49Linear OA(2778, 19715, F27, 24) (dual of [19715, 19637, 25]-code) [i]
50Linear OA(2772, 19715, F27, 22) (dual of [19715, 19643, 23]-code) [i]
51Linear OA(2766, 19715, F27, 20) (dual of [19715, 19649, 21]-code) [i]
52Linear OA(2760, 19715, F27, 18) (dual of [19715, 19655, 19]-code) [i]
53Linear OA(2754, 19715, F27, 16) (dual of [19715, 19661, 17]-code) [i]