Information on Result #895296

Linear OOA(3227, 4194422, F3, 2, 20) (dual of [(4194422, 2), 8388617, 21]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(331, 121, F3, 2, 10) (dual of [(121, 2), 211, 11]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(331, 242, F3, 10) (dual of [242, 211, 11]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OOA(3196, 4194301, F3, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using

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(3227, 4194422, F3, 3, 20) (dual of [(4194422, 3), 12583039, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3227, 4194422, F3, 4, 20) (dual of [(4194422, 4), 16777461, 21]-NRT-code) [i]
3Linear OOA(3227, 4194422, F3, 5, 20) (dual of [(4194422, 5), 20971883, 21]-NRT-code) [i]
4Digital (207, 227, 4194422)-net over F3 [i]
5Linear OOA(3227, 2097211, F3, 4, 20) (dual of [(2097211, 4), 8388617, 21]-NRT-code) [i]OOA Folding