Information on Result #695583

Linear OA(2733, 729, F27, 17) (dual of [729, 696, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(2735, 731, F27, 18) (dual of [731, 696, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2733, 731, F27, 17) (dual of [731, 698, 18]-code) [i]✔
3Linear OA(2741, 737, F27, 20) (dual of [737, 696, 21]-code) [i]✔
4Linear OA(2735, 737, F27, 17) (dual of [737, 702, 18]-code) [i]✔
5Linear OA(2747, 743, F27, 22) (dual of [743, 696, 23]-code) [i]✔
6Linear OA(2737, 743, F27, 17) (dual of [743, 706, 18]-code) [i]✔
7Linear OA(2753, 749, F27, 24) (dual of [749, 696, 25]-code) [i]✔
8Linear OA(2739, 749, F27, 17) (dual of [749, 710, 18]-code) [i]✔
9Linear OA(2759, 755, F27, 26) (dual of [755, 696, 27]-code) [i]✔
10Linear OA(2764, 760, F27, 28) (dual of [760, 696, 29]-code) [i]✔
11Linear OA(2766, 762, F27, 29) (dual of [762, 696, 30]-code) [i]✔
12Linear OA(2769, 765, F27, 30) (dual of [765, 696, 31]-code) [i]✔
13Linear OA(2772, 767, F27, 31) (dual of [767, 695, 32]-code) [i]✔
14Linear OA(2773, 769, F27, 31) (dual of [769, 696, 32]-code) [i]✔
15Linear OA(2776, 772, F27, 32) (dual of [772, 696, 33]-code) [i]✔
16Linear OA(2779, 775, F27, 33) (dual of [775, 696, 34]-code) [i]✔
17Linear OA(2782, 777, F27, 34) (dual of [777, 695, 35]-code) [i]✔
18Linear OA(2783, 779, F27, 34) (dual of [779, 696, 35]-code) [i]✔
19Linear OA(2763, 758, F27, 28) (dual of [758, 695, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes