Information on Result #679706

Linear OA(4138, 4119, F4, 30) (dual of [4119, 3981, 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(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), 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(4138, 3302, F4, 2, 30) (dual of [(3302, 2), 6466, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4138, 3302, F4, 3, 30) (dual of [(3302, 3), 9768, 31]-NRT-code) [i]
3Digital (108, 138, 3302)-net over F4 [i]
4Linear OOA(4138, 2059, F4, 2, 30) (dual of [(2059, 2), 3980, 31]-NRT-code) [i]OOA Folding
5Linear OOA(4138, 1373, F4, 3, 30) (dual of [(1373, 3), 3981, 31]-NRT-code) [i]