Information on Result #617909

Linear OA(27100, 729, F27, 52) (dual of [729, 629, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52

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(27102, 731, F27, 53) (dual of [731, 629, 54]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(27100, 731, F27, 52) (dual of [731, 631, 53]-code) [i]✔
3Linear OA(27107, 736, F27, 56) (dual of [736, 629, 57]-code) [i]✔
4Linear OA(27101, 734, F27, 52) (dual of [734, 633, 53]-code) [i]✔
5Linear OA(27109, 738, F27, 57) (dual of [738, 629, 58]-code) [i]✔
6Linear OA(27102, 737, F27, 52) (dual of [737, 635, 53]-code) [i]✔
7Linear OA(27103, 740, F27, 52) (dual of [740, 637, 53]-code) [i]✔
8Linear OA(27104, 743, F27, 52) (dual of [743, 639, 53]-code) [i]✔
9Linear OA(27105, 746, F27, 52) (dual of [746, 641, 53]-code) [i]✔
10Linear OA(27106, 749, F27, 52) (dual of [749, 643, 53]-code) [i]✔
11Linear OA(27107, 752, F27, 52) (dual of [752, 645, 53]-code) [i]✔
12Linear OA(27108, 755, F27, 52) (dual of [755, 647, 53]-code) [i]✔
13Linear OA(27109, 757, F27, 52) (dual of [757, 648, 53]-code) [i]✔
14Linear OA(27110, 759, F27, 52) (dual of [759, 649, 53]-code) [i]✔