Information on Result #617905

Linear OA(2798, 729, F27, 51) (dual of [729, 631, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51

Mode: Constructive and linear.

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(27100, 731, F27, 52) (dual of [731, 631, 53]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2798, 731, F27, 51) (dual of [731, 633, 52]-code) [i]✔
3Linear OA(27103, 734, F27, 53) (dual of [734, 631, 54]-code) [i]✔
4Linear OA(2799, 734, F27, 51) (dual of [734, 635, 52]-code) [i]✔
5Linear OA(27108, 739, F27, 56) (dual of [739, 631, 57]-code) [i]✔
6Linear OA(27100, 737, F27, 51) (dual of [737, 637, 52]-code) [i]✔
7Linear OA(27110, 741, F27, 57) (dual of [741, 631, 58]-code) [i]✔
8Linear OA(27101, 740, F27, 51) (dual of [740, 639, 52]-code) [i]✔
9Linear OA(27102, 743, F27, 51) (dual of [743, 641, 52]-code) [i]✔
10Linear OA(27103, 746, F27, 51) (dual of [746, 643, 52]-code) [i]✔
11Linear OA(27104, 749, F27, 51) (dual of [749, 645, 52]-code) [i]✔
12Linear OA(27105, 752, F27, 51) (dual of [752, 647, 52]-code) [i]✔
13Linear OA(27106, 755, F27, 51) (dual of [755, 649, 52]-code) [i]✔
14Linear OA(27107, 757, F27, 51) (dual of [757, 650, 52]-code) [i]✔
15Linear OA(27108, 759, F27, 51) (dual of [759, 651, 52]-code) [i]✔
16Linear OA(27109, 762, F27, 51) (dual of [762, 653, 52]-code) [i]✔
17Linear OA(27110, 765, F27, 51) (dual of [765, 655, 52]-code) [i]✔