Information on Result #662857

Linear OA(5150, 390641, F5, 22) (dual of [390641, 390491, 23]-code), using (u, u+v)-construction based on
  1. linear OA(513, 16, F5, 11) (dual of [16, 3, 12]-code), using
  2. linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using
    • an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, 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(5150, 334622, F5, 2, 22) (dual of [(334622, 2), 669094, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5150, 334622, F5, 3, 22) (dual of [(334622, 3), 1003716, 23]-NRT-code) [i]
3Digital (128, 150, 334622)-net over F5 [i]