Information on Result #1009483

Linear OOA(2235, 2796247, F2, 3, 18) (dual of [(2796247, 3), 8388506, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(228, 46, F2, 3, 9) (dual of [(46, 3), 110, 10]-NRT-code), using
  2. linear OOA(2207, 2796201, F2, 3, 18) (dual of [(2796201, 3), 8388396, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2235, 1398123, F2, 6, 18) (dual of [(1398123, 6), 8388503, 19]-NRT-code) [i]OOA Folding
2Linear OOA(2235, 932082, F2, 21, 18) (dual of [(932082, 21), 19573487, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row