Information on Result #1009547

Linear OOA(2248, 2796216, F2, 3, 20) (dual of [(2796216, 3), 8388400, 21]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(218, 15, F2, 3, 10) (dual of [(15, 3), 27, 11]-NRT-code), using
  2. linear OOA(2230, 2796201, F2, 3, 20) (dual of [(2796201, 3), 8388373, 21]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(2248, 1398108, F2, 6, 20) (dual of [(1398108, 6), 8388400, 21]-NRT-code) [i]OOA Folding