Information on Result #1010415

Linear OOA(364, 2796205, F3, 3, 7) (dual of [(2796205, 3), 8388551, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(33, 4, F3, 3, 3) (dual of [(4, 3), 9, 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(384, 5592410, F3, 3, 7) (dual of [(5592410, 3), 16777146, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3207, 5592410, F3, 3, 14) (dual of [(5592410, 3), 16777023, 15]-NRT-code) [i]
3Linear OOA(3208, 5592413, F3, 3, 14) (dual of [(5592413, 3), 16777031, 15]-NRT-code) [i]
4Linear OOA(3220, 5592406, F3, 3, 15) (dual of [(5592406, 3), 16776998, 16]-NRT-code) [i]
5Linear OOA(3221, 5592410, F3, 3, 15) (dual of [(5592410, 3), 16777009, 16]-NRT-code) [i]
6Linear OOA(3222, 5592413, F3, 3, 15) (dual of [(5592413, 3), 16777017, 16]-NRT-code) [i]
7Linear OOA(364, 2796204, F3, 4, 7) (dual of [(2796204, 4), 11184752, 8]-NRT-code) [i]OOA Stacking with Additional Row
8Linear OOA(364, 2796204, F3, 5, 7) (dual of [(2796204, 5), 13980956, 8]-NRT-code) [i]
9Linear OOA(364, 2796204, F3, 9, 7) (dual of [(2796204, 9), 25165772, 8]-NRT-code) [i]