Information on Result #700401

Linear OA(25643, 65550, F256, 20) (dual of [65550, 65507, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
  1. linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(1686, 131100, F16, 20) (dual of [131100, 131014, 21]-code) [i]Trace Code
2OA(3269, 65550, S32, 20) [i]Discarding Parts of the Base for OAs
3OA(12850, 65550, S128, 20) [i]
4Linear OOA(25643, 32775, F256, 2, 20) (dual of [(32775, 2), 65507, 21]-NRT-code) [i]OOA Folding
5Linear OOA(25643, 21850, F256, 3, 20) (dual of [(21850, 3), 65507, 21]-NRT-code) [i]
6Linear OOA(25643, 16387, F256, 4, 20) (dual of [(16387, 4), 65505, 21]-NRT-code) [i]
7Linear OOA(25643, 13110, F256, 5, 20) (dual of [(13110, 5), 65507, 21]-NRT-code) [i]
8Linear OOA(25643, 10925, F256, 6, 20) (dual of [(10925, 6), 65507, 21]-NRT-code) [i]
9Linear OOA(25643, 6555, F256, 20, 20) (dual of [(6555, 20), 131057, 21]-NRT-code) [i]OA Folding and Stacking