Information on Result #1008977

Linear OOA(299, 2796212, F2, 3, 8) (dual of [(2796212, 3), 8388537, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(27, 11, F2, 3, 4) (dual of [(11, 3), 26, 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(299, 2796212, F2, 4, 8) (dual of [(2796212, 4), 11184749, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(299, 2796212, F2, 5, 8) (dual of [(2796212, 5), 13980961, 9]-NRT-code) [i]
3Linear OOA(299, 2796212, F2, 6, 8) (dual of [(2796212, 6), 16777173, 9]-NRT-code) [i]
4Linear OOA(299, 2796212, F2, 7, 8) (dual of [(2796212, 7), 19573385, 9]-NRT-code) [i]