Information on Result #679683

Linear OA(4203, 4113, F4, 45) (dual of [4113, 3910, 46]-code), using construction X applied to Ce(44) ⊂ Ce(40) based on
  1. linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  2. linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(4203, 3756, F4, 2, 45) (dual of [(3756, 2), 7309, 46]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4203, 3756, F4, 3, 45) (dual of [(3756, 3), 11065, 46]-NRT-code) [i]
3Digital (158, 203, 3756)-net over F4 [i]
4Linear OOA(4203, 2056, F4, 2, 45) (dual of [(2056, 2), 3909, 46]-NRT-code) [i]OOA Folding
5Linear OOA(4203, 1371, F4, 3, 45) (dual of [(1371, 3), 3910, 46]-NRT-code) [i]