Information on Result #700349

Linear OA(25665, 65544, F256, 32) (dual of [65544, 65479, 33]-code), using construction X applied to Ce(31) ⊂ Ce(28) 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(25657, 65536, F256, 29) (dual of [65536, 65479, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(16130, 131088, F16, 32) (dual of [131088, 130958, 33]-code) [i]Trace Code
2OA(32104, 65544, S32, 32) [i]Discarding Parts of the Base for OAs
3OA(6487, 65544, S64, 32) [i]
4OA(12875, 65544, S128, 32) [i]
5Linear OOA(25665, 32772, F256, 2, 32) (dual of [(32772, 2), 65479, 33]-NRT-code) [i]OOA Folding
6Linear OOA(25665, 21848, F256, 3, 32) (dual of [(21848, 3), 65479, 33]-NRT-code) [i]
7Linear OOA(25665, 16386, F256, 4, 32) (dual of [(16386, 4), 65479, 33]-NRT-code) [i]
8Linear OOA(25665, 10924, F256, 6, 32) (dual of [(10924, 6), 65479, 33]-NRT-code) [i]