Information on Result #1020083

Linear OOA(25649, 2796460, F256, 3, 14) (dual of [(2796460, 3), 8389331, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2569, 259, F256, 3, 7) (dual of [(259, 3), 768, 8]-NRT-code), using
  2. linear OOA(25640, 2796201, F256, 3, 14) (dual of [(2796201, 3), 8388563, 15]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1OOA(12856, 2796460, S128, 3, 14) [i]Discarding Parts of the Base for OOAs
2Linear OOA(25668, 5592661, F256, 3, 14) (dual of [(5592661, 3), 16777915, 15]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(25649, 1398230, F256, 6, 14) (dual of [(1398230, 6), 8389331, 15]-NRT-code) [i]OOA Folding