Information on Result #700369

Linear OA(25625, 65544, F256, 12) (dual of [65544, 65519, 13]-code), using construction X applied to Ce(11) ⊂ Ce(8) based on
  1. linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(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(1650, 131088, F16, 12) (dual of [131088, 131038, 13]-code) [i]Trace Code
2OA(3240, 65544, S32, 12) [i]Discarding Parts of the Base for OAs
3OA(12829, 65544, S128, 12) [i]
4Linear OOA(25625, 32772, F256, 2, 12) (dual of [(32772, 2), 65519, 13]-NRT-code) [i]OOA Folding
5Linear OOA(25625, 21848, F256, 3, 12) (dual of [(21848, 3), 65519, 13]-NRT-code) [i]
6Linear OOA(25625, 16386, F256, 4, 12) (dual of [(16386, 4), 65519, 13]-NRT-code) [i]
7Linear OOA(25625, 10924, F256, 6, 12) (dual of [(10924, 6), 65519, 13]-NRT-code) [i]
8Linear OOA(25625, 10924, F256, 12, 12) (dual of [(10924, 12), 131063, 13]-NRT-code) [i]OA Folding and Stacking