Information on Result #1022970

Linear OOA(25667, 5592659, F256, 3, 15) (dual of [(5592659, 3), 16777910, 16]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(2565, 257, F256, 3, 5) (dual of [(257, 3), 766, 6]-NRT-code), using
  2. linear OOA(25619, 2796201, F256, 3, 7) (dual of [(2796201, 3), 8388584, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. 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(12877, 5592659, S128, 3, 15) [i]Discarding Parts of the Base for OOAs
2Linear OOA(25667, 2796329, F256, 5, 15) (dual of [(2796329, 5), 13981578, 16]-NRT-code) [i]OOA Folding
3Linear OOA(25667, 2796329, F256, 6, 15) (dual of [(2796329, 6), 16777907, 16]-NRT-code) [i]