Information on Result #614229

Linear OA(716, 16807, F7, 4) (dual of [16807, 16791, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4

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(718, 16815, F7, 4) (dual of [16815, 16797, 5]-code) [i](u, u+v)-Construction
2Linear OA(721, 16812, F7, 5) (dual of [16812, 16791, 6]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(716, 16812, F7, 4) (dual of [16812, 16796, 5]-code) [i]✔
4Linear OA(727, 16818, F7, 6) (dual of [16818, 16791, 7]-code) [i]✔
5Linear OA(717, 16818, F7, 4) (dual of [16818, 16801, 5]-code) [i]✔
6Linear OA(735, 16826, F7, 8) (dual of [16826, 16791, 9]-code) [i]✔
7Linear OA(741, 16828, F7, 9) (dual of [16828, 16787, 10]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
8Linear OA(736, 16828, F7, 8) (dual of [16828, 16792, 9]-code) [i]✔
9Linear OA(717, 16814, F7, 4) (dual of [16814, 16797, 5]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
10Linear OA(727, 16819, F7, 6) (dual of [16819, 16792, 7]-code) [i]✔
11Linear OA(717, 16819, F7, 4) (dual of [16819, 16802, 5]-code) [i]✔