Information on Result #1832537

OOA(12878, 4202496, S128, 2, 18), using (u, u+v)-construction based on
  1. linear OOA(12818, 8195, F128, 2, 9) (dual of [(8195, 2), 16372, 10]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(12818, 16390, F128, 9) (dual of [16390, 16372, 10]-code), using
      • construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
        1. linear OA(12817, 16385, F128, 9) (dual of [16385, 16368, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
        2. linear OA(12813, 16385, F128, 7) (dual of [16385, 16372, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
        3. linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
  2. OOA(12860, 4194301, S128, 2, 18), using

Mode: Constructive.

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
1OOA(12878, 2101248, S128, 4, 18) [i]OOA Folding