Information on Result #606867

Linear OA(2716, 28, F27, 16) (dual of [28, 12, 17]-code or 28-arc in PG(15,27)), using extended Reed–Solomon code RSe(12,27)

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(2778, 757, F27, 33) (dual of [757, 679, 34]-code) [i](u, u+v)-Construction
2Linear OA(27110, 19711, F27, 33) (dual of [19711, 19601, 34]-code) [i]
3Linear OA(2776, 757, F27, 32) (dual of [757, 681, 33]-code) [i]
4Linear OA(27107, 19711, F27, 32) (dual of [19711, 19604, 33]-code) [i]
5Linear OA(376, 112, F3, 33) (dual of [112, 36, 34]-code) [i]Concatenation of Two Codes
6Linear OA(3188, 224, F3, 84) (dual of [224, 36, 85]-code) [i]
7Linear OA(3216, 252, F3, 101) (dual of [252, 36, 102]-code) [i]
8Linear OOA(3132, 84, F3, 2, 67) (dual of [(84, 2), 36, 68]-NRT-code) [i]Concatenation of Two NRT-Codes
9Linear OOA(3188, 112, F3, 2, 101) (dual of [(112, 2), 36, 102]-NRT-code) [i]
10Linear OA(2790, 103, F27, 73) (dual of [103, 13, 74]-code) [i]Construction X with Algebraic-Geometric Codes
11Linear OA(2791, 104, F27, 74) (dual of [104, 13, 75]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
12Linear OA(2789, 785, F27, 33) (dual of [785, 696, 34]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(2786, 785, F27, 32) (dual of [785, 699, 33]-code) [i]