Information on Result #679693

Linear OA(4173, 4113, F4, 38) (dual of [4113, 3940, 39]-code), using construction X applied to Ce(37) ⊂ Ce(33) based on
  1. linear OA(4169, 4096, F4, 38) (dual of [4096, 3927, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(4151, 4096, F4, 34) (dual of [4096, 3945, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4173, 3554, F4, 2, 38) (dual of [(3554, 2), 6935, 39]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4173, 3554, F4, 3, 38) (dual of [(3554, 3), 10489, 39]-NRT-code) [i]
3Digital (135, 173, 3554)-net over F4 [i]
4Linear OOA(4173, 2056, F4, 2, 38) (dual of [(2056, 2), 3939, 39]-NRT-code) [i]OOA Folding
5Linear OOA(4173, 1371, F4, 3, 38) (dual of [(1371, 3), 3940, 39]-NRT-code) [i]