Information on Result #904254

Linear OOA(8116, 3363, F81, 2, 7) (dual of [(3363, 2), 6710, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(813, 82, F81, 2, 3) (dual of [(82, 2), 161, 4]-NRT-code), using
  2. linear OOA(8113, 3281, F81, 2, 7) (dual of [(3281, 2), 6549, 8]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(8169, 4197664, F81, 2, 14) (dual of [(4197664, 2), 8395259, 15]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(8173, 4197664, F81, 2, 15) (dual of [(4197664, 2), 8395255, 16]-NRT-code) [i]