Information on Result #695577

Linear OA(2741, 729, F27, 21) (dual of [729, 688, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2743, 731, F27, 22) (dual of [731, 688, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2741, 731, F27, 21) (dual of [731, 690, 22]-code) [i]✔
3Linear OA(2749, 737, F27, 24) (dual of [737, 688, 25]-code) [i]✔
4Linear OA(2743, 737, F27, 21) (dual of [737, 694, 22]-code) [i]✔
5Linear OA(2755, 743, F27, 26) (dual of [743, 688, 27]-code) [i]✔
6Linear OA(2745, 743, F27, 21) (dual of [743, 698, 22]-code) [i]✔
7Linear OA(2759, 747, F27, 28) (dual of [747, 688, 29]-code) [i]✔
8Linear OA(2761, 749, F27, 29) (dual of [749, 688, 30]-code) [i]✔
9Linear OA(2747, 749, F27, 21) (dual of [749, 702, 22]-code) [i]✔
10Linear OA(2764, 752, F27, 30) (dual of [752, 688, 31]-code) [i]✔
11Linear OA(2767, 755, F27, 31) (dual of [755, 688, 32]-code) [i]✔
12Linear OA(2749, 755, F27, 21) (dual of [755, 706, 22]-code) [i]✔
13Linear OA(2770, 757, F27, 32) (dual of [757, 687, 33]-code) [i]✔
14Linear OA(2771, 759, F27, 32) (dual of [759, 688, 33]-code) [i]✔
15Linear OA(2774, 762, F27, 33) (dual of [762, 688, 34]-code) [i]✔
16Linear OA(2777, 765, F27, 34) (dual of [765, 688, 35]-code) [i]✔
17Linear OA(2780, 767, F27, 35) (dual of [767, 687, 36]-code) [i]✔
18Linear OA(2781, 769, F27, 35) (dual of [769, 688, 36]-code) [i]✔
19Linear OA(2784, 772, F27, 36) (dual of [772, 688, 37]-code) [i]✔
20Linear OA(2787, 775, F27, 37) (dual of [775, 688, 38]-code) [i]✔
21Linear OA(2790, 777, F27, 38) (dual of [777, 687, 39]-code) [i]✔
22Linear OA(2791, 779, F27, 38) (dual of [779, 688, 39]-code) [i]✔
23Linear OA(2794, 781, F27, 39) (dual of [781, 687, 40]-code) [i]✔
24Linear OA(2795, 783, F27, 39) (dual of [783, 688, 40]-code) [i]✔
25Linear OA(2798, 786, F27, 40) (dual of [786, 688, 41]-code) [i]✔
26Linear OA(27101, 789, F27, 41) (dual of [789, 688, 42]-code) [i]✔
27Linear OA(27104, 792, F27, 42) (dual of [792, 688, 43]-code) [i]✔