Information on Result #664494

Linear OA(964, 4783042, F9, 10) (dual of [4783042, 4782978, 11]-code), using (u, u+v)-construction based on
  1. linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
  2. linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
    • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, 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(964, 4783042, F9, 2, 10) (dual of [(4783042, 2), 9566020, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(964, 4783042, F9, 3, 10) (dual of [(4783042, 3), 14349062, 11]-NRT-code) [i]
3Digital (54, 64, 4783042)-net over F9 [i]
4Linear OOA(964, 2391521, F9, 2, 10) (dual of [(2391521, 2), 4782978, 11]-NRT-code) [i]OOA Folding
5Linear OOA(964, 1594347, F9, 3, 10) (dual of [(1594347, 3), 4782977, 11]-NRT-code) [i]
6Linear OOA(964, 956608, F9, 10, 10) (dual of [(956608, 10), 9566016, 11]-NRT-code) [i]OA Folding and Stacking