Information on Result #700433

Linear OA(25647, 65556, F256, 21) (dual of [65556, 65509, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
  1. linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(2566, 20, F256, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,256)), 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(1694, 131112, F16, 21) (dual of [131112, 131018, 22]-code) [i]Trace Code
2OA(12854, 65556, S128, 21) [i]Discarding Parts of the Base for OAs
3Linear OOA(25647, 32778, F256, 2, 21) (dual of [(32778, 2), 65509, 22]-NRT-code) [i]OOA Folding
4Linear OOA(25647, 21852, F256, 3, 21) (dual of [(21852, 3), 65509, 22]-NRT-code) [i]
5Linear OOA(25647, 16389, F256, 4, 21) (dual of [(16389, 4), 65509, 22]-NRT-code) [i]
6Linear OOA(25647, 13111, F256, 5, 21) (dual of [(13111, 5), 65508, 22]-NRT-code) [i]
7Linear OOA(25647, 10926, F256, 6, 21) (dual of [(10926, 6), 65509, 22]-NRT-code) [i]