Information on Result #617489

Linear OA(2727, 729, F27, 14) (dual of [729, 702, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14

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(2734, 757, F27, 14) (dual of [757, 723, 15]-code) [i](u, u+v)-Construction
2Linear OA(2735, 767, F27, 14) (dual of [767, 732, 15]-code) [i]
3Linear OA(2736, 777, F27, 14) (dual of [777, 741, 15]-code) [i]
4Linear OA(2737, 785, F27, 14) (dual of [785, 748, 15]-code) [i]
5Linear OA(2738, 793, F27, 14) (dual of [793, 755, 15]-code) [i]
6Linear OA(2738, 795, F27, 14) (dual of [795, 757, 15]-code) [i]
7Linear OA(2738, 741, F27, 14) (dual of [741, 703, 15]-code) [i]Generalized (u, u+v)-Construction
8Linear OA(2736, 739, F27, 14) (dual of [739, 703, 15]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(2737, 741, F27, 14) (dual of [741, 704, 15]-code) [i]
10Linear OA(2738, 785, F27, 14) (dual of [785, 747, 15]-code) [i]
11Linear OA(2729, 731, F27, 15) (dual of [731, 702, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
12Linear OA(2727, 731, F27, 14) (dual of [731, 704, 15]-code) [i]✔
13Linear OA(2732, 734, F27, 16) (dual of [734, 702, 17]-code) [i]✔
14Linear OA(2728, 734, F27, 14) (dual of [734, 706, 15]-code) [i]✔
15Linear OA(2735, 737, F27, 17) (dual of [737, 702, 18]-code) [i]✔
16Linear OA(2729, 737, F27, 14) (dual of [737, 708, 15]-code) [i]✔
17Linear OA(2738, 740, F27, 18) (dual of [740, 702, 19]-code) [i]✔
18Linear OA(2730, 740, F27, 14) (dual of [740, 710, 15]-code) [i]✔
19Linear OA(2741, 743, F27, 19) (dual of [743, 702, 20]-code) [i]✔
20Linear OA(2731, 743, F27, 14) (dual of [743, 712, 15]-code) [i]✔
21Linear OA(2744, 746, F27, 20) (dual of [746, 702, 21]-code) [i]✔
22Linear OA(2732, 746, F27, 14) (dual of [746, 714, 15]-code) [i]✔
23Linear OA(2747, 749, F27, 21) (dual of [749, 702, 22]-code) [i]✔
24Linear OA(2733, 749, F27, 14) (dual of [749, 716, 15]-code) [i]✔
25Linear OA(2750, 752, F27, 22) (dual of [752, 702, 23]-code) [i]✔
26Linear OA(2753, 755, F27, 23) (dual of [755, 702, 24]-code) [i]✔
27Linear OA(2756, 757, F27, 24) (dual of [757, 701, 25]-code) [i]✔
28Linear OA(2757, 759, F27, 24) (dual of [759, 702, 25]-code) [i]✔
29Linear OA(2760, 762, F27, 25) (dual of [762, 702, 26]-code) [i]✔
30Linear OA(2763, 765, F27, 26) (dual of [765, 702, 27]-code) [i]✔
31Linear OA(2768, 770, F27, 28) (dual of [770, 702, 29]-code) [i]✔