Information on Result #1832460

OOA(12866, 5242881, S128, 2, 14), using (u, u+v)-construction based on
  1. linear OOA(12820, 1048580, F128, 2, 7) (dual of [(1048580, 2), 2097140, 8]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(12820, 2097160, F128, 7) (dual of [2097160, 2097140, 8]-code), using
      • construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
        1. linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
        2. linear OA(12813, 2097153, F128, 5) (dual of [2097153, 2097140, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
        3. linear OA(1281, 7, F128, 1) (dual of [7, 6, 2]-code), using
  2. OOA(12846, 4194301, S128, 2, 14), 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(12866, 2621440, S128, 4, 14) [i]OOA Folding