Information on Result #1019194

Linear OOA(12850, 2804458, F128, 3, 11) (dual of [(2804458, 3), 8413324, 12]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1289, 8257, F128, 3, 5) (dual of [(8257, 3), 24762, 6]-NRT-code), using
  2. linear OOA(12841, 2796201, F128, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12841, large, F128, 11) (dual of [large, large−41, 12]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(12867, 5608916, F128, 3, 11) (dual of [(5608916, 3), 16826681, 12]-NRT-code) [i](u, u+v)-Construction for OOAs