Information on Result #662632

Linear OA(477, 1048588, F4, 10) (dual of [1048588, 1048511, 11]-code), using (u, u+v)-construction based on
  1. linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
  2. linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using
    • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, 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(477, 657862, F4, 2, 10) (dual of [(657862, 2), 1315647, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(477, 657862, F4, 3, 10) (dual of [(657862, 3), 1973509, 11]-NRT-code) [i]
3Digital (67, 77, 657862)-net over F4 [i]