Information on Result #662060

Linear OA(356, 2199, F3, 11) (dual of [2199, 2143, 12]-code), using (u, u+v)-construction based on
  1. linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
  2. linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using
    • an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(356, 1700, F3, 2, 11) (dual of [(1700, 2), 3344, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(356, 1700, F3, 3, 11) (dual of [(1700, 3), 5044, 12]-NRT-code) [i]
3Linear OOA(356, 1700, F3, 4, 11) (dual of [(1700, 4), 6744, 12]-NRT-code) [i]
4Linear OOA(356, 1700, F3, 5, 11) (dual of [(1700, 5), 8444, 12]-NRT-code) [i]
5Digital (45, 56, 1700)-net over F3 [i]