Information on Result #679681

Linear OA(4209, 4113, F4, 46) (dual of [4113, 3904, 47]-code), using construction X applied to Ce(45) ⊂ Ce(41) based on
  1. linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(4187, 4096, F4, 42) (dual of [4096, 3909, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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(4209, 4001, F4, 2, 46) (dual of [(4001, 2), 7793, 47]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4209, 4001, F4, 3, 46) (dual of [(4001, 3), 11794, 47]-NRT-code) [i]
3Digital (163, 209, 4001)-net over F4 [i]
4Linear OOA(4209, 2056, F4, 2, 46) (dual of [(2056, 2), 3903, 47]-NRT-code) [i]OOA Folding
5Linear OOA(4209, 1371, F4, 3, 46) (dual of [(1371, 3), 3904, 47]-NRT-code) [i]