Information on Result #623024

Linear OA(2712, 52, F27, 9) (dual of [52, 40, 10]-code), using extended algebraic-geometric code AGe(F,42P) based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, 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(2749, 782, F27, 19) (dual of [782, 733, 20]-code) [i](u, u+v)-Construction
2Linear OA(2767, 19736, F27, 19) (dual of [19736, 19669, 20]-code) [i]
3Linear OA(2785, 531494, F27, 19) (dual of [531494, 531409, 20]-code) [i]
4Linear OA(2747, 781, F27, 18) (dual of [781, 734, 19]-code) [i]
5Linear OA(2764, 19735, F27, 18) (dual of [19735, 19671, 19]-code) [i]
6Linear OA(2781, 531493, F27, 18) (dual of [531493, 531412, 19]-code) [i]
7Linear OA(2749, 784, F27, 19) (dual of [784, 735, 20]-code) [i]
8Linear OA(2767, 19738, F27, 19) (dual of [19738, 19671, 20]-code) [i]
9Linear OA(2785, 531497, F27, 19) (dual of [531497, 531412, 20]-code) [i]
10Linear OA(2747, 784, F27, 18) (dual of [784, 737, 19]-code) [i]
11Linear OA(2764, 19738, F27, 18) (dual of [19738, 19674, 19]-code) [i]
12Linear OA(2781, 531497, F27, 18) (dual of [531497, 531416, 19]-code) [i]
13Linear OA(27109, 531494, F27, 25) (dual of [531494, 531385, 26]-code) [i]Construction X with Cyclic Codes
14Linear OA(27101, 531494, F27, 23) (dual of [531494, 531393, 24]-code) [i]
15Linear OA(2793, 531494, F27, 21) (dual of [531494, 531401, 22]-code) [i]
16Linear OA(27105, 531493, F27, 24) (dual of [531493, 531388, 25]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
17Linear OA(2797, 531493, F27, 22) (dual of [531493, 531396, 23]-code) [i]
18Linear OA(2789, 531493, F27, 20) (dual of [531493, 531404, 21]-code) [i]