Information on Result #1010423

Linear OOA(372, 2798945, F3, 3, 7) (dual of [(2798945, 3), 8396763, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(311, 2744, F3, 3, 3) (dual of [(2744, 3), 8221, 4]-NRT-code), using
  2. linear OOA(361, 2796201, F3, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, 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(392, 5597890, F3, 3, 7) (dual of [(5597890, 3), 16793578, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(372, 2798944, F3, 4, 7) (dual of [(2798944, 4), 11195704, 8]-NRT-code) [i]OOA Stacking with Additional Row
3Linear OOA(372, 2798944, F3, 5, 7) (dual of [(2798944, 5), 13994648, 8]-NRT-code) [i]
4Linear OOA(372, 2798944, F3, 9, 7) (dual of [(2798944, 9), 25190424, 8]-NRT-code) [i]