Information on Result #1010950

Linear OOA(3206, 2796205, F3, 3, 20) (dual of [(2796205, 3), 8388409, 21]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(310, 4, F3, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
  2. linear OOA(3196, 2796201, F3, 3, 20) (dual of [(2796201, 3), 8388407, 21]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(3206, 2796205, F3, 4, 20) (dual of [(2796205, 4), 11184614, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3206, 2796205, F3, 5, 20) (dual of [(2796205, 5), 13980819, 21]-NRT-code) [i]
3Digital (186, 206, 2796205)-net over F3 [i]