Information on Result #700407

Linear OA(25631, 65550, F256, 14) (dual of [65550, 65519, 15]-code), using construction X applied to Ce(13) ⊂ Ce(8) based on
  1. 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]
  2. linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(1662, 131100, F16, 14) (dual of [131100, 131038, 15]-code) [i]Trace Code
2OA(12836, 65550, S128, 14) [i]Discarding Parts of the Base for OAs
3Linear OOA(25631, 32775, F256, 2, 14) (dual of [(32775, 2), 65519, 15]-NRT-code) [i]OOA Folding
4Linear OOA(25631, 21850, F256, 3, 14) (dual of [(21850, 3), 65519, 15]-NRT-code) [i]
5Linear OOA(25631, 16387, F256, 4, 14) (dual of [(16387, 4), 65517, 15]-NRT-code) [i]
6Linear OOA(25631, 13110, F256, 5, 14) (dual of [(13110, 5), 65519, 15]-NRT-code) [i]
7Linear OOA(25631, 10925, F256, 6, 14) (dual of [(10925, 6), 65519, 15]-NRT-code) [i]
8Linear OOA(25631, 9364, F256, 14, 14) (dual of [(9364, 14), 131065, 15]-NRT-code) [i]OA Folding and Stacking