Information on Result #1118651

Linear OOA(25619, 2796458, F256, 5, 6) (dual of [(2796458, 5), 13982271, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
  2. linear OOA(25616, 2796201, F256, 5, 6) (dual of [(2796201, 5), 13980989, 7]-NRT-code), using
    • OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(25619, 2796458, F256, 6, 6) (dual of [(2796458, 6), 16778729, 7]-NRT-code) [i]Appending kth Column