Information on Result #700398

Linear OA(25649, 65550, F256, 23) (dual of [65550, 65501, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
  1. linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. 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]
  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(1698, 131100, F16, 23) (dual of [131100, 131002, 24]-code) [i]Trace Code
2OA(12856, 65550, S128, 23) [i]Discarding Parts of the Base for OAs
3Linear OOA(25649, 32775, F256, 2, 23) (dual of [(32775, 2), 65501, 24]-NRT-code) [i]OOA Folding
4Linear OOA(25649, 21850, F256, 3, 23) (dual of [(21850, 3), 65501, 24]-NRT-code) [i]
5Linear OOA(25649, 13110, F256, 5, 23) (dual of [(13110, 5), 65501, 24]-NRT-code) [i]
6Linear OOA(25649, 10925, F256, 6, 23) (dual of [(10925, 6), 65501, 24]-NRT-code) [i]
7Linear OOA(25649, 5959, F256, 23, 23) (dual of [(5959, 23), 137008, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row