Information on Result #1020219

Linear OOA(25666, 2796460, F256, 3, 19) (dual of [(2796460, 3), 8389314, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(25611, 259, F256, 3, 9) (dual of [(259, 3), 766, 10]-NRT-code), using
  2. linear OOA(25655, 2796201, F256, 3, 19) (dual of [(2796201, 3), 8388548, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(25666, 1398230, F256, 6, 19) (dual of [(1398230, 6), 8389314, 20]-NRT-code) [i]OOA Folding
2Linear OOA(25666, 932153, F256, 21, 19) (dual of [(932153, 21), 19575147, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row