Information on Result #1019085

Linear OOA(12833, 2796330, F128, 3, 8) (dual of [(2796330, 3), 8388957, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
  2. linear OOA(12829, 2796201, F128, 3, 8) (dual of [(2796201, 3), 8388574, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12829, large, F128, 8) (dual of [large, large−29, 9]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [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(12846, 5592660, F128, 3, 8) (dual of [(5592660, 3), 16777934, 9]-NRT-code) [i](u, u+v)-Construction for OOAs