Information on Result #623070

Linear OA(2721, 64, F27, 17) (dual of [64, 43, 18]-code), using extended algebraic-geometric code AGe(F,46P) based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, 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(2760, 128, F27, 35) (dual of [128, 68, 36]-code) [i](u, u+v)-Construction
2Linear OA(2787, 793, F27, 35) (dual of [793, 706, 36]-code) [i]
3Linear OA(2759, 128, F27, 34) (dual of [128, 69, 35]-code) [i]
4Linear OA(2785, 793, F27, 34) (dual of [793, 708, 35]-code) [i]
5Linear OA(2787, 796, F27, 35) (dual of [796, 709, 36]-code) [i]
6Linear OA(2785, 796, F27, 34) (dual of [796, 711, 35]-code) [i]
7Linear OA(27110, 787, F27, 45) (dual of [787, 677, 46]-code) [i]Construction X with Cyclic Codes
8Linear OA(27106, 787, F27, 43) (dual of [787, 681, 44]-code) [i]
9Linear OA(27105, 783, F27, 44) (dual of [783, 678, 45]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(27103, 783, F27, 43) (dual of [783, 680, 44]-code) [i]
11Linear OA(27101, 783, F27, 42) (dual of [783, 682, 43]-code) [i]
12Linear OA(2799, 783, F27, 41) (dual of [783, 684, 42]-code) [i]
13Linear OA(2797, 783, F27, 40) (dual of [783, 686, 41]-code) [i]
14Linear OA(2795, 783, F27, 39) (dual of [783, 688, 40]-code) [i]
15Linear OA(2793, 783, F27, 38) (dual of [783, 690, 39]-code) [i]
16Linear OA(2791, 783, F27, 37) (dual of [783, 692, 38]-code) [i]
17Linear OA(2789, 783, F27, 36) (dual of [783, 694, 37]-code) [i]
18Linear OA(27109, 785, F27, 46) (dual of [785, 676, 47]-code) [i]
19Linear OOA(2721, 32, F27, 2, 17) (dual of [(32, 2), 43, 18]-NRT-code) [i]OOA Folding