Information on Result #1010863

Linear OOA(3174, 2796205, F3, 3, 17) (dual of [(2796205, 3), 8388441, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
  2. linear OOA(3166, 2796201, F3, 3, 17) (dual of [(2796201, 3), 8388437, 18]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(3250, 5592406, F3, 3, 17) (dual of [(5592406, 3), 16776968, 18]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3174, 2796205, F3, 4, 17) (dual of [(2796205, 4), 11184646, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(3174, 2796205, F3, 5, 17) (dual of [(2796205, 5), 13980851, 18]-NRT-code) [i]
4Digital (157, 174, 2796205)-net over F3 [i]