Information on Result #623031

Linear OA(2719, 52, F27, 16) (dual of [52, 33, 17]-code), using extended algebraic-geometric code AGe(F,35P) 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(2781, 781, F27, 33) (dual of [781, 700, 34]-code) [i](u, u+v)-Construction
2Linear OA(2779, 781, F27, 32) (dual of [781, 702, 33]-code) [i]
3Linear OA(27110, 19735, F27, 32) (dual of [19735, 19625, 33]-code) [i]
4Linear OA(2781, 784, F27, 33) (dual of [784, 703, 34]-code) [i]
5Linear OA(2779, 784, F27, 32) (dual of [784, 705, 33]-code) [i]
6Linear OA(27108, 782, F27, 44) (dual of [782, 674, 45]-code) [i]Construction X with Cyclic Codes
7Linear OA(27104, 782, F27, 42) (dual of [782, 678, 43]-code) [i]
8Linear OA(27101, 779, F27, 43) (dual of [779, 678, 44]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(2799, 779, F27, 42) (dual of [779, 680, 43]-code) [i]
10Linear OA(2797, 779, F27, 41) (dual of [779, 682, 42]-code) [i]
11Linear OA(2795, 779, F27, 40) (dual of [779, 684, 41]-code) [i]
12Linear OA(2793, 779, F27, 39) (dual of [779, 686, 40]-code) [i]
13Linear OA(2791, 779, F27, 38) (dual of [779, 688, 39]-code) [i]
14Linear OA(2789, 779, F27, 37) (dual of [779, 690, 38]-code) [i]
15Linear OA(2787, 779, F27, 36) (dual of [779, 692, 37]-code) [i]
16Linear OA(2785, 779, F27, 35) (dual of [779, 694, 36]-code) [i]
17Linear OA(2783, 779, F27, 34) (dual of [779, 696, 35]-code) [i]
18Linear OA(27109, 781, F27, 47) (dual of [781, 672, 48]-code) [i]
19Linear OA(27107, 781, F27, 46) (dual of [781, 674, 47]-code) [i]
20Linear OA(27105, 781, F27, 45) (dual of [781, 676, 46]-code) [i]