Information on Result #679717

Linear OA(4101, 4113, F4, 22) (dual of [4113, 4012, 23]-code), using construction X applied to Ce(21) ⊂ Ce(17) based on
  1. linear OA(497, 4096, F4, 22) (dual of [4096, 3999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(479, 4096, F4, 18) (dual of [4096, 4017, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(4101, 2819, F4, 2, 22) (dual of [(2819, 2), 5537, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4101, 2819, F4, 3, 22) (dual of [(2819, 3), 8356, 23]-NRT-code) [i]
3Digital (79, 101, 2819)-net over F4 [i]
4Linear OOA(4101, 2056, F4, 2, 22) (dual of [(2056, 2), 4011, 23]-NRT-code) [i]OOA Folding
5Linear OOA(4101, 1371, F4, 3, 22) (dual of [(1371, 3), 4012, 23]-NRT-code) [i]