Information on Result #700390

Linear OA(25665, 65550, F256, 31) (dual of [65550, 65485, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) 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(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), 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(16130, 131100, F16, 31) (dual of [131100, 130970, 32]-code) [i]Trace Code
2OA(32104, 65550, S32, 31) [i]Discarding Parts of the Base for OAs
3OA(6487, 65550, S64, 31) [i]
4OA(12875, 65550, S128, 31) [i]
5Linear OOA(25665, 32775, F256, 2, 31) (dual of [(32775, 2), 65485, 32]-NRT-code) [i]OOA Folding
6Linear OOA(25665, 21850, F256, 3, 31) (dual of [(21850, 3), 65485, 32]-NRT-code) [i]
7Linear OOA(25665, 13110, F256, 5, 31) (dual of [(13110, 5), 65485, 32]-NRT-code) [i]
8Linear OOA(25665, 10925, F256, 6, 31) (dual of [(10925, 6), 65485, 32]-NRT-code) [i]