Information on Result #695586

Linear OA(2729, 729, F27, 15) (dual of [729, 700, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(2731, 731, F27, 16) (dual of [731, 700, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2729, 731, F27, 15) (dual of [731, 702, 16]-code) [i]✔
3Linear OA(2737, 737, F27, 18) (dual of [737, 700, 19]-code) [i]✔
4Linear OA(2731, 737, F27, 15) (dual of [737, 706, 16]-code) [i]✔
5Linear OA(2743, 743, F27, 20) (dual of [743, 700, 21]-code) [i]✔
6Linear OA(2733, 743, F27, 15) (dual of [743, 710, 16]-code) [i]✔
7Linear OA(2749, 749, F27, 22) (dual of [749, 700, 23]-code) [i]✔
8Linear OA(2735, 749, F27, 15) (dual of [749, 714, 16]-code) [i]✔
9Linear OA(2755, 755, F27, 24) (dual of [755, 700, 25]-code) [i]✔
10Linear OA(2762, 762, F27, 26) (dual of [762, 700, 27]-code) [i]✔
11Linear OA(2766, 766, F27, 28) (dual of [766, 700, 29]-code) [i]✔
12Linear OA(2768, 767, F27, 29) (dual of [767, 699, 30]-code) [i]✔
13Linear OA(2769, 769, F27, 29) (dual of [769, 700, 30]-code) [i]✔
14Linear OA(2772, 772, F27, 30) (dual of [772, 700, 31]-code) [i]✔
15Linear OOA(2729, 104, F27, 15, 15) (dual of [(104, 15), 1531, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row