Information on Result #1017584

Linear OOA(6431, 3066603, F64, 3, 7) (dual of [(3066603, 3), 9199778, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(646, 270402, F64, 3, 3) (dual of [(270402, 3), 811200, 4]-NRT-code), using
  2. linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(6438, 6133206, F64, 3, 7) (dual of [(6133206, 3), 18399580, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6431, 3066602, F64, 9, 7) (dual of [(3066602, 9), 27599387, 8]-NRT-code) [i]OOA Stacking with Additional Row