Information on Result #662462

Linear OA(4158, 262161, F4, 22) (dual of [262161, 262003, 23]-code), using (u, u+v)-construction based on
  1. linear OA(413, 17, F4, 11) (dual of [17, 4, 12]-code), using
  2. linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using
    • an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]

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(4158, 147336, F4, 2, 22) (dual of [(147336, 2), 294514, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4158, 147336, F4, 3, 22) (dual of [(147336, 3), 441850, 23]-NRT-code) [i]
3Digital (136, 158, 147336)-net over F4 [i]