Information on Result #1019120

Linear OOA(12839, 2804329, F128, 3, 9) (dual of [(2804329, 3), 8412948, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(1286, 8128, F128, 3, 4) (dual of [(8128, 3), 24378, 5]-NRT-code), using
  2. linear OOA(12833, 2796201, F128, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(12852, 5608658, F128, 3, 9) (dual of [(5608658, 3), 16825922, 10]-NRT-code) [i](u, u+v)-Construction for OOAs