Information on Result #700387

Linear OA(25622, 65547, F256, 10) (dual of [65547, 65525, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
  1. linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), 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
1OA(12826, 65547, S128, 10) [i]Discarding Parts of the Base for OAs
2Linear OOA(25622, 32773, F256, 2, 10) (dual of [(32773, 2), 65524, 11]-NRT-code) [i]OOA Folding
3Linear OOA(25622, 21849, F256, 3, 10) (dual of [(21849, 3), 65525, 11]-NRT-code) [i]
4Linear OOA(25622, 13109, F256, 5, 10) (dual of [(13109, 5), 65523, 11]-NRT-code) [i]
5Linear OOA(25622, 13109, F256, 6, 10) (dual of [(13109, 6), 78632, 11]-NRT-code) [i]OA Folding and Stacking
6Linear OOA(25622, 13109, F256, 10, 10) (dual of [(13109, 10), 131068, 11]-NRT-code) [i]