Information on Result #1019889

Linear OOA(25622, 2796458, F256, 3, 7) (dual of [(2796458, 3), 8389352, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-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]

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
1Linear OOA(25628, 5592916, F256, 3, 7) (dual of [(5592916, 3), 16778720, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(25668, 5592406, F256, 3, 14) (dual of [(5592406, 3), 16777150, 15]-NRT-code) [i]
3Linear OOA(25622, 2796457, F256, 4, 7) (dual of [(2796457, 4), 11185806, 8]-NRT-code) [i]OOA Stacking with Additional Row
4Linear OOA(25622, 2796457, F256, 5, 7) (dual of [(2796457, 5), 13982263, 8]-NRT-code) [i]
5Linear OOA(25622, 2796457, F256, 6, 7) (dual of [(2796457, 6), 16778720, 8]-NRT-code) [i]