Information on Result #726425

Linear OA(2750, 728, F27, 25) (dual of [728, 678, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,27}, and designed minimum distance d ≥ |I|+1 = 26

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 OOA(2750, 396, F27, 2, 25) (dual of [(396, 2), 742, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (25, 50, 396)-net over F27 [i]
3Linear OA(2783, 760, F27, 38) (dual of [760, 677, 39]-code) [i]✔Construction XX with Cyclic Codes
4Linear OA(2786, 763, F27, 39) (dual of [763, 677, 40]-code) [i]✔
5Linear OA(2790, 768, F27, 40) (dual of [768, 678, 41]-code) [i]✔
6Linear OA(2789, 766, F27, 40) (dual of [766, 677, 41]-code) [i]✔
7Linear OA(2793, 771, F27, 41) (dual of [771, 678, 42]-code) [i]✔
8Linear OA(2792, 769, F27, 41) (dual of [769, 677, 42]-code) [i]✔
9Linear OA(2796, 774, F27, 42) (dual of [774, 678, 43]-code) [i]✔
10Linear OA(2795, 772, F27, 42) (dual of [772, 677, 43]-code) [i]✔
11Linear OA(2799, 777, F27, 43) (dual of [777, 678, 44]-code) [i]✔
12Linear OA(2798, 775, F27, 43) (dual of [775, 677, 44]-code) [i]✔
13Linear OA(27102, 780, F27, 44) (dual of [780, 678, 45]-code) [i]✔
14Linear OA(27101, 778, F27, 44) (dual of [778, 677, 45]-code) [i]✔
15Linear OA(27105, 783, F27, 45) (dual of [783, 678, 46]-code) [i]✔
16Linear OA(27104, 781, F27, 45) (dual of [781, 677, 46]-code) [i]✔
17Linear OA(27108, 786, F27, 46) (dual of [786, 678, 47]-code) [i]✔
18Linear OA(27107, 784, F27, 46) (dual of [784, 677, 47]-code) [i]✔
19Linear OA(27110, 784, F27, 47) (dual of [784, 674, 48]-code) [i]✔