Information on Result #679705

Linear OA(4137, 4113, F4, 30) (dual of [4113, 3976, 31]-code), using construction X applied to Ce(29) ⊂ Ce(25) based on
  1. linear OA(4133, 4096, F4, 30) (dual of [4096, 3963, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(4115, 4096, F4, 26) (dual of [4096, 3981, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), 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(4137, 3142, F4, 2, 30) (dual of [(3142, 2), 6147, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4137, 3142, F4, 3, 30) (dual of [(3142, 3), 9289, 31]-NRT-code) [i]
3Digital (107, 137, 3142)-net over F4 [i]
4Linear OOA(4137, 2056, F4, 2, 30) (dual of [(2056, 2), 3975, 31]-NRT-code) [i]OOA Folding
5Linear OOA(4137, 1371, F4, 3, 30) (dual of [(1371, 3), 3976, 31]-NRT-code) [i]