Information on Result #700451

Linear OA(25663, 65562, F256, 28) (dual of [65562, 65499, 29]-code), using construction X applied to Ce(27) ⊂ Ce(18) based on
  1. linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(16126, 131124, F16, 28) (dual of [131124, 130998, 29]-code) [i]Trace Code
2OA(12872, 65562, S128, 28) [i]Discarding Parts of the Base for OAs
3Linear OOA(25663, 32781, F256, 2, 28) (dual of [(32781, 2), 65499, 29]-NRT-code) [i]OOA Folding
4Linear OOA(25663, 21854, F256, 3, 28) (dual of [(21854, 3), 65499, 29]-NRT-code) [i]
5Linear OOA(25663, 16390, F256, 4, 28) (dual of [(16390, 4), 65497, 29]-NRT-code) [i]
6Linear OOA(25663, 13112, F256, 5, 28) (dual of [(13112, 5), 65497, 29]-NRT-code) [i]
7Linear OOA(25663, 10927, F256, 6, 28) (dual of [(10927, 6), 65499, 29]-NRT-code) [i]
8Linear OOA(25663, 4683, F256, 28, 28) (dual of [(4683, 28), 131061, 29]-NRT-code) [i]OA Folding and Stacking