Information on Result #603543

Linear OA(2713, 13, F27, 13) (dual of [13, 0, 14]-code or 13-arc in PG(12,27)), using complete OA / dual of code with only one code word

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(27109, 768, F27, 39) (dual of [768, 659, 40]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(27109, 768, F27, 39) (dual of [768, 659, 40]-code) [i]
3Linear OA(27106, 768, F27, 38) (dual of [768, 662, 39]-code) [i]
4Linear OA(27104, 768, F27, 37) (dual of [768, 664, 38]-code) [i]
5Linear OA(2798, 768, F27, 35) (dual of [768, 670, 36]-code) [i]
6Linear OA(2797, 755, F27, 38) (dual of [755, 658, 39]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(2795, 755, F27, 37) (dual of [755, 660, 38]-code) [i]
8Linear OA(2793, 755, F27, 36) (dual of [755, 662, 37]-code) [i]
9Linear OA(2790, 755, F27, 35) (dual of [755, 665, 36]-code) [i]
10Linear OA(2788, 755, F27, 34) (dual of [755, 667, 35]-code) [i]
11Linear OA(2786, 755, F27, 33) (dual of [755, 669, 34]-code) [i]
12Linear OA(2783, 755, F27, 32) (dual of [755, 672, 33]-code) [i]
13Linear OA(2781, 755, F27, 31) (dual of [755, 674, 32]-code) [i]
14Linear OA(2779, 755, F27, 30) (dual of [755, 676, 31]-code) [i]
15Linear OA(27108, 19709, F27, 30) (dual of [19709, 19601, 31]-code) [i]
16Linear OA(2776, 755, F27, 29) (dual of [755, 679, 30]-code) [i]
17Linear OA(27104, 19709, F27, 29) (dual of [19709, 19605, 30]-code) [i]
18Linear OA(2775, 755, F27, 28) (dual of [755, 680, 29]-code) [i]
19Linear OA(27101, 19709, F27, 28) (dual of [19709, 19608, 29]-code) [i]