Information on Result #700364

Linear OA(25635, 65544, F256, 17) (dual of [65544, 65509, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
  1. linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), 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(1670, 131088, F16, 17) (dual of [131088, 131018, 18]-code) [i]Trace Code
2OA(3256, 65544, S32, 17) [i]Discarding Parts of the Base for OAs
3OA(6447, 65544, S64, 17) [i]
4OA(12840, 65544, S128, 17) [i]
5Linear OOA(25635, 32772, F256, 2, 17) (dual of [(32772, 2), 65509, 18]-NRT-code) [i]OOA Folding
6Linear OOA(25635, 21848, F256, 3, 17) (dual of [(21848, 3), 65509, 18]-NRT-code) [i]
7Linear OOA(25635, 16386, F256, 4, 17) (dual of [(16386, 4), 65509, 18]-NRT-code) [i]
8Linear OOA(25635, 10924, F256, 6, 17) (dual of [(10924, 6), 65509, 18]-NRT-code) [i]