Information on Result #679732

Linear OA(459, 4113, F4, 13) (dual of [4113, 4054, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
  1. linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(437, 4096, F4, 9) (dual of [4096, 4059, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(459, 2438, F4, 2, 13) (dual of [(2438, 2), 4817, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(459, 2438, F4, 3, 13) (dual of [(2438, 3), 7255, 14]-NRT-code) [i]
3Digital (46, 59, 2438)-net over F4 [i]
4Linear OOA(459, 2056, F4, 2, 13) (dual of [(2056, 2), 4053, 14]-NRT-code) [i]OOA Folding
5Linear OOA(459, 1371, F4, 3, 13) (dual of [(1371, 3), 4054, 14]-NRT-code) [i]