Information on Result #615485

Linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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(939, 4782979, F9, 6) (dual of [4782979, 4782940, 7]-code) [i](u, u+v)-Construction
2Linear OA(940, 4783051, F9, 6) (dual of [4783051, 4783011, 7]-code) [i]
3Linear OA(943, 4782976, F9, 7) (dual of [4782976, 4782933, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(936, 4782976, F9, 6) (dual of [4782976, 4782940, 7]-code) [i]✔
5Linear OA(951, 4782984, F9, 8) (dual of [4782984, 4782933, 9]-code) [i]✔
6Linear OA(937, 4782984, F9, 6) (dual of [4782984, 4782947, 7]-code) [i]✔
7Linear OA(961, 4782994, F9, 10) (dual of [4782994, 4782933, 11]-code) [i]✔
8Linear OA(939, 4782993, F9, 6) (dual of [4782993, 4782954, 7]-code) [i]✔
9Linear OA(970, 4783003, F9, 11) (dual of [4783003, 4782933, 12]-code) [i]✔
10Linear OA(978, 4783011, F9, 12) (dual of [4783011, 4782933, 13]-code) [i]✔
11Linear OA(969, 4782996, F9, 11) (dual of [4782996, 4782927, 12]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(962, 4782996, F9, 10) (dual of [4782996, 4782934, 11]-code) [i]✔
13Linear OA(937, 4782978, F9, 6) (dual of [4782978, 4782941, 7]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
14Linear OA(951, 4782985, F9, 8) (dual of [4782985, 4782934, 9]-code) [i]✔
15Linear OA(937, 4782985, F9, 6) (dual of [4782985, 4782948, 7]-code) [i]✔