Information on Result #699395

Linear OA(8149, 6563, F81, 25) (dual of [6563, 6514, 26]-code), using construction X applied to Ce(24) ⊂ Ce(23) based on
  1. linear OA(8149, 6561, F81, 25) (dual of [6561, 6512, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(998, 13126, F9, 25) (dual of [13126, 13028, 26]-code) [i]Trace Code
2OA(2766, 6563, S27, 25) [i]Discarding Parts of the Base for OAs
3Linear OA(8161, 6645, F81, 25) (dual of [6645, 6584, 26]-code) [i](u, u+v)-Construction
4Linear OA(8162, 6663, F81, 25) (dual of [6663, 6601, 26]-code) [i]
5Linear OA(8163, 6679, F81, 25) (dual of [6679, 6616, 26]-code) [i]
6Linear OA(8164, 6681, F81, 25) (dual of [6681, 6617, 26]-code) [i]
7Linear OA(8165, 6713, F81, 25) (dual of [6713, 6648, 26]-code) [i]
8Linear OA(8166, 6723, F81, 25) (dual of [6723, 6657, 26]-code) [i]
9Linear OA(8167, 6727, F81, 25) (dual of [6727, 6660, 26]-code) [i]
10Linear OA(8168, 6745, F81, 25) (dual of [6745, 6677, 26]-code) [i]
11Linear OA(8169, 6763, F81, 25) (dual of [6763, 6694, 26]-code) [i]
12Linear OA(8170, 6975, F81, 25) (dual of [6975, 6905, 26]-code) [i]
13Linear OA(8171, 6978, F81, 25) (dual of [6978, 6907, 26]-code) [i]
14Linear OA(8172, 13126, F81, 25) (dual of [13126, 13054, 26]-code) [i]