Information on Result #1008974

Linear OOA(296, 2796204, F2, 3, 8) (dual of [(2796204, 3), 8388516, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  2. linear OOA(292, 2796201, F2, 3, 8) (dual of [(2796201, 3), 8388511, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(296, 2796204, F2, 4, 8) (dual of [(2796204, 4), 11184720, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(296, 2796204, F2, 5, 8) (dual of [(2796204, 5), 13980924, 9]-NRT-code) [i]
3Linear OOA(296, 2796204, F2, 6, 8) (dual of [(2796204, 6), 16777128, 9]-NRT-code) [i]
4Linear OOA(296, 2796204, F2, 7, 8) (dual of [(2796204, 7), 19573332, 9]-NRT-code) [i]