Information on Result #1018499

Linear OOA(8139, 2799441, F81, 3, 9) (dual of [(2799441, 3), 8398284, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(816, 3240, F81, 3, 4) (dual of [(3240, 3), 9714, 5]-NRT-code), using
  2. linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8152, 5598882, F81, 3, 9) (dual of [(5598882, 3), 16796594, 10]-NRT-code) [i](u, u+v)-Construction for OOAs