Information on Result #622957

Linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-code), using extended algebraic-geometric code AGe(F,31P) 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(2732, 768, F27, 13) (dual of [768, 736, 14]-code) [i](u, u+v)-Construction
2Linear OA(2744, 19722, F27, 13) (dual of [19722, 19678, 14]-code) [i]
3Linear OA(2756, 531480, F27, 13) (dual of [531480, 531424, 14]-code) [i]
4Linear OA(2730, 767, F27, 12) (dual of [767, 737, 13]-code) [i]
5Linear OA(2741, 19721, F27, 12) (dual of [19721, 19680, 13]-code) [i]
6Linear OA(2752, 531479, F27, 12) (dual of [531479, 531427, 13]-code) [i]
7Linear OA(2732, 770, F27, 13) (dual of [770, 738, 14]-code) [i]
8Linear OA(2744, 19724, F27, 13) (dual of [19724, 19680, 14]-code) [i]
9Linear OA(2756, 531483, F27, 13) (dual of [531483, 531427, 14]-code) [i]
10Linear OA(2730, 770, F27, 12) (dual of [770, 740, 13]-code) [i]
11Linear OA(2741, 19724, F27, 12) (dual of [19724, 19683, 13]-code) [i]
12Linear OA(2752, 531483, F27, 12) (dual of [531483, 531431, 13]-code) [i]
13Linear OA(2776, 19759, F27, 20) (dual of [19759, 19683, 21]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(2795, 531517, F27, 20) (dual of [531517, 531422, 21]-code) [i]
15Linear OA(2772, 19760, F27, 19) (dual of [19760, 19688, 20]-code) [i]
16Linear OA(2790, 531518, F27, 19) (dual of [531518, 531428, 20]-code) [i]
17Linear OA(2748, 19750, F27, 13) (dual of [19750, 19702, 14]-code) [i]
18Linear OA(2760, 531508, F27, 13) (dual of [531508, 531448, 14]-code) [i]
19Linear OA(27104, 531480, F27, 24) (dual of [531480, 531376, 25]-code) [i]Construction X with Cyclic Codes
20Linear OA(2796, 531480, F27, 22) (dual of [531480, 531384, 23]-code) [i]
21Linear OA(2788, 531480, F27, 20) (dual of [531480, 531392, 21]-code) [i]
22Linear OA(27110, 19715, F27, 34) (dual of [19715, 19605, 35]-code) [i]
23Linear OA(27108, 531476, F27, 26) (dual of [531476, 531368, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
24Linear OA(27104, 531476, F27, 25) (dual of [531476, 531372, 26]-code) [i]
25Linear OA(27100, 531476, F27, 24) (dual of [531476, 531376, 25]-code) [i]
26Linear OA(2796, 531476, F27, 23) (dual of [531476, 531380, 24]-code) [i]
27Linear OA(2792, 531476, F27, 22) (dual of [531476, 531384, 23]-code) [i]
28Linear OA(2788, 531476, F27, 21) (dual of [531476, 531388, 22]-code) [i]
29Linear OA(2784, 531476, F27, 20) (dual of [531476, 531392, 21]-code) [i]
30Linear OA(2780, 531476, F27, 19) (dual of [531476, 531396, 20]-code) [i]
31Linear OA(2776, 531476, F27, 18) (dual of [531476, 531400, 19]-code) [i]
32Linear OA(2772, 531476, F27, 17) (dual of [531476, 531404, 18]-code) [i]
33Linear OA(2768, 531476, F27, 16) (dual of [531476, 531408, 17]-code) [i]
34Linear OA(2764, 531476, F27, 15) (dual of [531476, 531412, 16]-code) [i]
35Linear OA(2760, 531476, F27, 14) (dual of [531476, 531416, 15]-code) [i]