Information on Result #605736

Linear OA(279, 10, F27, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,27)), using dual of repetition code with length 10

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(27110, 769, F27, 39) (dual of [769, 659, 40]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(27103, 759, F27, 39) (dual of [759, 656, 40]-code) [i]
3Linear OA(27101, 759, F27, 38) (dual of [759, 658, 39]-code) [i]
4Linear OA(2799, 759, F27, 37) (dual of [759, 660, 38]-code) [i]
5Linear OA(2797, 759, F27, 36) (dual of [759, 662, 37]-code) [i]
6Linear OA(2780, 759, F27, 29) (dual of [759, 679, 30]-code) [i]
7Linear OA(27108, 19713, F27, 29) (dual of [19713, 19605, 30]-code) [i]
8Linear OA(27103, 19712, F27, 27) (dual of [19712, 19609, 28]-code) [i]
9Linear OA(2773, 749, F27, 29) (dual of [749, 676, 30]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(27101, 19703, F27, 29) (dual of [19703, 19602, 30]-code) [i]
11Linear OA(2772, 749, F27, 28) (dual of [749, 677, 29]-code) [i]
12Linear OA(2798, 19703, F27, 28) (dual of [19703, 19605, 29]-code) [i]
13Linear OA(2746, 740, F27, 19) (dual of [740, 694, 20]-code) [i]Construction X with Cyclic Codes
14Linear OA(2764, 19694, F27, 19) (dual of [19694, 19630, 20]-code) [i]
15Linear OA(2782, 531452, F27, 19) (dual of [531452, 531370, 20]-code) [i]
16Linear OA(2750, 740, F27, 21) (dual of [740, 690, 22]-code) [i]
17Linear OA(2732, 38, F27, 23) (dual of [38, 6, 24]-code) [i]
18Linear OA(2734, 531452, F27, 9) (dual of [531452, 531418, 10]-code) [i]Construction X4 with Cyclic Codes
19Linear OA(2726, 531452, F27, 7) (dual of [531452, 531426, 8]-code) [i]
20Linear OA(2718, 531452, F27, 5) (dual of [531452, 531434, 6]-code) [i]
21Linear OA(2730, 531451, F27, 8) (dual of [531451, 531421, 9]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
22Linear OA(2722, 531451, F27, 6) (dual of [531451, 531429, 7]-code) [i]
23Linear OA(2714, 531451, F27, 4) (dual of [531451, 531437, 5]-code) [i]