Information on Result #662629

Linear OA(469, 262150, F4, 10) (dual of [262150, 262081, 11]-code), using (u, u+v)-construction based on
  1. linear OA(45, 6, F4, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,4)), using
  2. linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using
    • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(469, 164461, F4, 2, 10) (dual of [(164461, 2), 328853, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(469, 164461, F4, 3, 10) (dual of [(164461, 3), 493314, 11]-NRT-code) [i]
3Digital (59, 69, 164461)-net over F4 [i]