Information on Result #726412

Linear OA(2753, 728, F27, 27) (dual of [728, 675, 28]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,29}, and designed minimum distance d ≥ |I|+1 = 28

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2794, 788, F27, 38) (dual of [788, 694, 39]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2758, 735, F27, 30) (dual of [735, 677, 31]-code) [i]✔
3Linear OA(2761, 738, F27, 31) (dual of [738, 677, 32]-code) [i]✔
4Linear OA(2764, 741, F27, 32) (dual of [741, 677, 33]-code) [i]✔
5Linear OA(2767, 744, F27, 33) (dual of [744, 677, 34]-code) [i]✔
6Linear OA(2770, 747, F27, 34) (dual of [747, 677, 35]-code) [i]✔
7Linear OA(2773, 750, F27, 35) (dual of [750, 677, 36]-code) [i]✔
8Linear OA(2776, 753, F27, 36) (dual of [753, 677, 37]-code) [i]✔
9Linear OA(2783, 760, F27, 38) (dual of [760, 677, 39]-code) [i]✔
10Linear OA(2779, 756, F27, 37) (dual of [756, 677, 38]-code) [i]✔
11Linear OA(2796, 770, F27, 43) (dual of [770, 674, 44]-code) [i]✔
12Linear OA(2799, 773, F27, 44) (dual of [773, 674, 45]-code) [i]✔
13Linear OA(27102, 776, F27, 45) (dual of [776, 674, 46]-code) [i]✔
14Linear OA(27105, 779, F27, 46) (dual of [779, 674, 47]-code) [i]✔
15Linear OA(27109, 784, F27, 47) (dual of [784, 675, 48]-code) [i]✔
16Linear OA(27108, 782, F27, 47) (dual of [782, 674, 48]-code) [i]✔