Information on Result #699401

Linear OA(8141, 6563, F81, 21) (dual of [6563, 6522, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
  1. linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using

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(982, 13126, F9, 21) (dual of [13126, 13044, 22]-code) [i]Trace Code
2OA(2755, 6563, S27, 21) [i]Discarding Parts of the Base for OAs
3Linear OA(8151, 6645, F81, 21) (dual of [6645, 6594, 22]-code) [i](u, u+v)-Construction
4Linear OA(8152, 6663, F81, 21) (dual of [6663, 6611, 22]-code) [i]
5Linear OA(8153, 6679, F81, 21) (dual of [6679, 6626, 22]-code) [i]
6Linear OA(8154, 6681, F81, 21) (dual of [6681, 6627, 22]-code) [i]
7Linear OA(8155, 6713, F81, 21) (dual of [6713, 6658, 22]-code) [i]
8Linear OA(8156, 6729, F81, 21) (dual of [6729, 6673, 22]-code) [i]
9Linear OA(8157, 6745, F81, 21) (dual of [6745, 6688, 22]-code) [i]
10Linear OA(8158, 6893, F81, 21) (dual of [6893, 6835, 22]-code) [i]
11Linear OA(8159, 6972, F81, 21) (dual of [6972, 6913, 22]-code) [i]
12Linear OA(8160, 13126, F81, 21) (dual of [13126, 13066, 22]-code) [i]