Information on Result #619224

Linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, 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(922, 13122, F9, 6) (dual of [13122, 13100, 7]-code) [i]Trace Code
2Linear OA(8136, 13123, F81, 13) (dual of [13123, 13087, 14]-code) [i](u, u+v)-Construction
3Linear OA(8148, 538003, F81, 13) (dual of [538003, 537955, 14]-code) [i]
4Linear OA(8114, 6643, F81, 6) (dual of [6643, 6629, 7]-code) [i]
5Linear OA(8115, 13122, F81, 6) (dual of [13122, 13107, 7]-code) [i]
6Linear OA(8113, 6563, F81, 7) (dual of [6563, 6550, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(8111, 6563, F81, 6) (dual of [6563, 6552, 7]-code) [i]✔
8Linear OA(8116, 6566, F81, 8) (dual of [6566, 6550, 9]-code) [i]✔
9Linear OA(8112, 6566, F81, 6) (dual of [6566, 6554, 7]-code) [i]✔
10Linear OA(8119, 6569, F81, 9) (dual of [6569, 6550, 10]-code) [i]✔
11Linear OA(8113, 6569, F81, 6) (dual of [6569, 6556, 7]-code) [i]✔
12Linear OA(8122, 6572, F81, 10) (dual of [6572, 6550, 11]-code) [i]✔
13Linear OA(8125, 6575, F81, 11) (dual of [6575, 6550, 12]-code) [i]✔
14Linear OA(8128, 6578, F81, 12) (dual of [6578, 6550, 13]-code) [i]✔
15Linear OOA(8111, 2187, F81, 3, 6) (dual of [(2187, 3), 6550, 7]-NRT-code) [i]OOA Folding
16Linear OOA(8111, 2187, F81, 4, 6) (dual of [(2187, 4), 8737, 7]-NRT-code) [i]OA Folding and Stacking
17Linear OOA(8111, 2187, F81, 6, 6) (dual of [(2187, 6), 13111, 7]-NRT-code) [i]