Information on Result #700455

Linear OA(25655, 65562, F256, 24) (dual of [65562, 65507, 25]-code), using construction X applied to Ce(23) ⊂ Ce(14) based on
  1. linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(2568, 26, F256, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,256)), 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(16110, 131124, F16, 24) (dual of [131124, 131014, 25]-code) [i]Trace Code
2OA(12863, 65562, S128, 24) [i]Discarding Parts of the Base for OAs
3Linear OOA(25655, 32781, F256, 2, 24) (dual of [(32781, 2), 65507, 25]-NRT-code) [i]OOA Folding
4Linear OOA(25655, 21854, F256, 3, 24) (dual of [(21854, 3), 65507, 25]-NRT-code) [i]
5Linear OOA(25655, 16390, F256, 4, 24) (dual of [(16390, 4), 65505, 25]-NRT-code) [i]
6Linear OOA(25655, 13112, F256, 5, 24) (dual of [(13112, 5), 65505, 25]-NRT-code) [i]
7Linear OOA(25655, 10927, F256, 6, 24) (dual of [(10927, 6), 65507, 25]-NRT-code) [i]