Information on Result #614305

Linear OA(750, 823543, F7, 9) (dual of [823543, 823493, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

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(754, 823551, F7, 9) (dual of [823551, 823497, 10]-code) [i](u, u+v)-Construction
2Linear OA(755, 823554, F7, 9) (dual of [823554, 823499, 10]-code) [i]
3Linear OA(756, 823585, F7, 9) (dual of [823585, 823529, 10]-code) [i]
4Linear OA(757, 823550, F7, 10) (dual of [823550, 823493, 11]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(750, 823550, F7, 9) (dual of [823550, 823500, 10]-code) [i]✔
6Linear OA(765, 823558, F7, 11) (dual of [823558, 823493, 12]-code) [i]✔
7Linear OA(753, 823560, F7, 9) (dual of [823560, 823507, 10]-code) [i]✔
8Linear OA(774, 823567, F7, 12) (dual of [823567, 823493, 13]-code) [i]✔
9Linear OA(754, 823568, F7, 9) (dual of [823568, 823514, 10]-code) [i]✔
10Linear OA(782, 823575, F7, 13) (dual of [823575, 823493, 14]-code) [i]✔
11Linear OA(792, 823585, F7, 15) (dual of [823585, 823493, 16]-code) [i]✔
12Linear OA(7103, 823593, F7, 16) (dual of [823593, 823490, 17]-code) [i]✔
13Linear OA(7104, 823597, F7, 16) (dual of [823597, 823493, 17]-code) [i]✔
14Linear OA(7103, 823595, F7, 16) (dual of [823595, 823492, 17]-code) [i]✔
15Linear OA(752, 823553, F7, 9) (dual of [823553, 823501, 10]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(755, 823570, F7, 9) (dual of [823570, 823515, 10]-code) [i]✔
17Linear OA(765, 823559, F7, 11) (dual of [823559, 823494, 12]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes