Information on Result #1020112

Linear OOA(25651, 2796459, F256, 3, 15) (dual of [(2796459, 3), 8389326, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2568, 258, F256, 3, 7) (dual of [(258, 3), 766, 8]-NRT-code), using
  2. linear OOA(25643, 2796201, F256, 3, 15) (dual of [(2796201, 3), 8388560, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(12859, 2796459, S128, 3, 15) [i]Discarding Parts of the Base for OOAs