Information on Result #700350

Linear OA(25663, 65544, F256, 31) (dual of [65544, 65481, 32]-code), using construction X applied to Ce(30) ⊂ Ce(27) based on
  1. linear OA(25661, 65536, F256, 31) (dual of [65536, 65475, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), 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(16126, 131088, F16, 31) (dual of [131088, 130962, 32]-code) [i]Trace Code
2OA(32101, 65544, S32, 31) [i]Discarding Parts of the Base for OAs
3OA(6484, 65544, S64, 31) [i]
4OA(12872, 65544, S128, 31) [i]
5Linear OOA(25663, 32772, F256, 2, 31) (dual of [(32772, 2), 65481, 32]-NRT-code) [i]OOA Folding
6Linear OOA(25663, 21848, F256, 3, 31) (dual of [(21848, 3), 65481, 32]-NRT-code) [i]
7Linear OOA(25663, 16386, F256, 4, 31) (dual of [(16386, 4), 65481, 32]-NRT-code) [i]
8Linear OOA(25663, 10924, F256, 6, 31) (dual of [(10924, 6), 65481, 32]-NRT-code) [i]