Information on Result #700403

Linear OA(25639, 65550, F256, 18) (dual of [65550, 65511, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
  1. linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(1678, 131100, F16, 18) (dual of [131100, 131022, 19]-code) [i]Trace Code
2OA(12845, 65550, S128, 18) [i]Discarding Parts of the Base for OAs
3Linear OOA(25639, 32775, F256, 2, 18) (dual of [(32775, 2), 65511, 19]-NRT-code) [i]OOA Folding
4Linear OOA(25639, 21850, F256, 3, 18) (dual of [(21850, 3), 65511, 19]-NRT-code) [i]
5Linear OOA(25639, 16387, F256, 4, 18) (dual of [(16387, 4), 65509, 19]-NRT-code) [i]
6Linear OOA(25639, 13110, F256, 5, 18) (dual of [(13110, 5), 65511, 19]-NRT-code) [i]
7Linear OOA(25639, 10925, F256, 6, 18) (dual of [(10925, 6), 65511, 19]-NRT-code) [i]