Information on Result #1010416

Linear OOA(365, 2796211, F3, 3, 7) (dual of [(2796211, 3), 8388568, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(34, 10, F3, 3, 3) (dual of [(10, 3), 26, 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(385, 5592422, F3, 3, 7) (dual of [(5592422, 3), 16777181, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3209, 5592416, F3, 3, 14) (dual of [(5592416, 3), 16777039, 15]-NRT-code) [i]
3Linear OOA(3210, 5592420, F3, 3, 14) (dual of [(5592420, 3), 16777050, 15]-NRT-code) [i]
4Linear OOA(3211, 5592423, F3, 3, 14) (dual of [(5592423, 3), 16777058, 15]-NRT-code) [i]
5Linear OOA(3223, 5592416, F3, 3, 15) (dual of [(5592416, 3), 16777025, 16]-NRT-code) [i]
6Linear OOA(3224, 5592420, F3, 3, 15) (dual of [(5592420, 3), 16777036, 16]-NRT-code) [i]
7Linear OOA(3225, 5592423, F3, 3, 15) (dual of [(5592423, 3), 16777044, 16]-NRT-code) [i]
8Linear OOA(3226, 5592427, F3, 3, 15) (dual of [(5592427, 3), 16777055, 16]-NRT-code) [i]
9Linear OOA(365, 2796210, F3, 4, 7) (dual of [(2796210, 4), 11184775, 8]-NRT-code) [i]OOA Stacking with Additional Row
10Linear OOA(365, 2796210, F3, 5, 7) (dual of [(2796210, 5), 13980985, 8]-NRT-code) [i]
11Linear OOA(365, 2796210, F3, 9, 7) (dual of [(2796210, 9), 25165825, 8]-NRT-code) [i]