Information on Result #614231

Linear OA(722, 823543, F7, 4) (dual of [823543, 823521, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, 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(724, 823551, F7, 4) (dual of [823551, 823527, 5]-code) [i](u, u+v)-Construction
2Linear OA(729, 823550, F7, 5) (dual of [823550, 823521, 6]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(722, 823550, F7, 4) (dual of [823550, 823528, 5]-code) [i]✔
4Linear OA(737, 823558, F7, 6) (dual of [823558, 823521, 7]-code) [i]✔
5Linear OA(723, 823558, F7, 4) (dual of [823558, 823535, 5]-code) [i]✔
6Linear OA(747, 823568, F7, 8) (dual of [823568, 823521, 9]-code) [i]✔
7Linear OA(755, 823570, F7, 9) (dual of [823570, 823515, 10]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
8Linear OA(748, 823570, F7, 8) (dual of [823570, 823522, 9]-code) [i]✔
9Linear OA(723, 823552, F7, 4) (dual of [823552, 823529, 5]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
10Linear OA(737, 823559, F7, 6) (dual of [823559, 823522, 7]-code) [i]✔
11Linear OA(723, 823559, F7, 4) (dual of [823559, 823536, 5]-code) [i]✔