Information on Result #1009027

Linear OOA(2126, 2796227, F2, 3, 10) (dual of [(2796227, 3), 8388555, 11]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(211, 26, F2, 3, 5) (dual of [(26, 3), 67, 6]-NRT-code), using
  2. linear OOA(2115, 2796201, F2, 3, 10) (dual of [(2796201, 3), 8388488, 11]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, 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, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2126, 2796227, F2, 4, 10) (dual of [(2796227, 4), 11184782, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(2126, 2796227, F2, 5, 10) (dual of [(2796227, 5), 13981009, 11]-NRT-code) [i]
3Linear OOA(2126, 2796227, F2, 6, 10) (dual of [(2796227, 6), 16777236, 11]-NRT-code) [i]
4Linear OOA(2126, 2796227, F2, 7, 10) (dual of [(2796227, 7), 19573463, 11]-NRT-code) [i]
5Linear OOA(2126, 2796227, F2, 8, 10) (dual of [(2796227, 8), 22369690, 11]-NRT-code) [i]
6Digital (116, 126, 2796227)-net over F2 [i]