Information on Result #1017878

Linear OOA(6464, 2796266, F64, 3, 15) (dual of [(2796266, 3), 8388734, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(647, 65, F64, 3, 7) (dual of [(65, 3), 188, 8]-NRT-code), using
  2. linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(6489, 5592467, F64, 3, 15) (dual of [(5592467, 3), 16777312, 16]-NRT-code) [i](u, u+v)-Construction for OOAs