Information on Result #699398

Linear OA(8145, 6563, F81, 23) (dual of [6563, 6518, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
  1. linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(990, 13126, F9, 23) (dual of [13126, 13036, 24]-code) [i]Trace Code
2OA(2760, 6563, S27, 23) [i]Discarding Parts of the Base for OAs
3Linear OA(8156, 6645, F81, 23) (dual of [6645, 6589, 24]-code) [i](u, u+v)-Construction
4Linear OA(8157, 6663, F81, 23) (dual of [6663, 6606, 24]-code) [i]
5Linear OA(8158, 6679, F81, 23) (dual of [6679, 6621, 24]-code) [i]
6Linear OA(8159, 6681, F81, 23) (dual of [6681, 6622, 24]-code) [i]
7Linear OA(8160, 6713, F81, 23) (dual of [6713, 6653, 24]-code) [i]
8Linear OA(8161, 6727, F81, 23) (dual of [6727, 6666, 24]-code) [i]
9Linear OA(8162, 6745, F81, 23) (dual of [6745, 6683, 24]-code) [i]
10Linear OA(8163, 6763, F81, 23) (dual of [6763, 6700, 24]-code) [i]
11Linear OA(8164, 6973, F81, 23) (dual of [6973, 6909, 24]-code) [i]
12Linear OA(8165, 6976, F81, 23) (dual of [6976, 6911, 24]-code) [i]
13Linear OA(8166, 13126, F81, 23) (dual of [13126, 13060, 24]-code) [i]