Information on Result #1021616

Linear OOA(568, 5592408, F5, 3, 7) (dual of [(5592408, 3), 16777156, 8]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(52, 6, F5, 3, 2) (dual of [(6, 3), 16, 3]-NRT-code), using
  2. linear OOA(515, 2796201, F5, 3, 3) (dual of [(2796201, 3), 8388588, 4]-NRT-code), using
  3. linear OOA(551, 2796201, F5, 3, 7) (dual of [(2796201, 3), 8388552, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(551, large, F5, 7) (dual of [large, large−51, 8]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, 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(568, 5592407, F5, 9, 7) (dual of [(5592407, 9), 50331595, 8]-NRT-code) [i]OOA Stacking with Additional Row