Information on Result #700389

Linear OA(25667, 65550, F256, 32) (dual of [65550, 65483, 33]-code), using construction X applied to Ce(31) ⊂ Ce(26) based on
  1. linear OA(25663, 65536, F256, 32) (dual of [65536, 65473, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(25653, 65536, F256, 27) (dual of [65536, 65483, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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
1OA(32108, 65550, S32, 32) [i]Discarding Parts of the Base for OAs
2OA(6490, 65550, S64, 32) [i]
3OA(12877, 65550, S128, 32) [i]
4Linear OOA(25667, 32775, F256, 2, 32) (dual of [(32775, 2), 65483, 33]-NRT-code) [i]OOA Folding
5Linear OOA(25667, 21850, F256, 3, 32) (dual of [(21850, 3), 65483, 33]-NRT-code) [i]
6Linear OOA(25667, 16387, F256, 4, 32) (dual of [(16387, 4), 65481, 33]-NRT-code) [i]
7Linear OOA(25667, 13110, F256, 5, 32) (dual of [(13110, 5), 65483, 33]-NRT-code) [i]
8Linear OOA(25667, 10925, F256, 6, 32) (dual of [(10925, 6), 65483, 33]-NRT-code) [i]