Information on Result #678008

Linear OA(4107, 4194347, F4, 12) (dual of [4194347, 4194240, 13]-code), using construction X applied to Ce(12) ⊂ Ce(6) based on
  1. linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4107, 3636554, F4, 2, 12) (dual of [(3636554, 2), 7273001, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4107, 3636554, F4, 3, 12) (dual of [(3636554, 3), 10909555, 13]-NRT-code) [i]
3Digital (95, 107, 3636554)-net over F4 [i]
4Linear OOA(4107, 2097173, F4, 2, 12) (dual of [(2097173, 2), 4194239, 13]-NRT-code) [i]OOA Folding
5Linear OOA(4107, 1398115, F4, 3, 12) (dual of [(1398115, 3), 4194238, 13]-NRT-code) [i]