Information on Result #1019273

Linear OOA(12859, 2796480, F128, 3, 13) (dual of [(2796480, 3), 8389381, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(12810, 279, F128, 3, 6) (dual of [(279, 3), 827, 7]-NRT-code), using
  2. linear OOA(12849, 2796201, F128, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(12859, 1398239, F128, 15, 13) (dual of [(1398239, 15), 20973526, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row