Information on Result #684520

Linear OA(799, 823543, F7, 17) (dual of [823543, 823444, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(7106, 823550, F7, 18) (dual of [823550, 823444, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(799, 823550, F7, 17) (dual of [823550, 823451, 18]-code) [i]✔
3Linear OA(7103, 823568, F7, 17) (dual of [823568, 823465, 18]-code) [i]✔
4Linear OA(7105, 823577, F7, 17) (dual of [823577, 823472, 18]-code) [i]✔
5Linear OA(7106, 823585, F7, 17) (dual of [823585, 823479, 18]-code) [i]✔
6Linear OA(7110, 823593, F7, 17) (dual of [823593, 823483, 18]-code) [i]✔
7Linear OA(7110, 823595, F7, 17) (dual of [823595, 823485, 18]-code) [i]✔
8Linear OA(7104, 823570, F7, 17) (dual of [823570, 823466, 18]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes