Information on Result #1019431

Linear OOA(12878, 2796330, F128, 3, 18) (dual of [(2796330, 3), 8388912, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1289, 129, F128, 3, 9) (dual of [(129, 3), 378, 10]-NRT-code), using
  2. linear OOA(12869, 2796201, F128, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12869, large, F128, 18) (dual of [large, large−69, 19]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,17], 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(12878, 932109, F128, 21, 18) (dual of [(932109, 21), 19574211, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row