Information on Result #679699

Linear OA(4155, 4113, F4, 34) (dual of [4113, 3958, 35]-code), using construction X applied to Ce(33) ⊂ Ce(29) based on
  1. 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]
  2. 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]
  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(4155, 3341, F4, 2, 34) (dual of [(3341, 2), 6527, 35]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4155, 3341, F4, 3, 34) (dual of [(3341, 3), 9868, 35]-NRT-code) [i]
3Digital (121, 155, 3341)-net over F4 [i]
4Linear OOA(4155, 2056, F4, 2, 34) (dual of [(2056, 2), 3957, 35]-NRT-code) [i]OOA Folding
5Linear OOA(4155, 1371, F4, 3, 34) (dual of [(1371, 3), 3958, 35]-NRT-code) [i]