Information on Result #1009258

Linear OOA(2223, 3844776, F2, 3, 14) (dual of [(3844776, 3), 11534105, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(262, 1048575, F2, 3, 7) (dual of [(1048575, 3), 3145663, 8]-NRT-code), using
  2. linear OOA(2161, 2796201, F2, 3, 14) (dual of [(2796201, 3), 8388442, 15]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2225, 3844776, F2, 3, 14) (dual of [(3844776, 3), 11534103, 15]-NRT-code) [i]OOA Duplication
2Linear OOA(2223, 1922388, F2, 5, 14) (dual of [(1922388, 5), 9611717, 15]-NRT-code) [i]OOA Folding
3Linear OOA(2223, 1922388, F2, 6, 14) (dual of [(1922388, 6), 11534105, 15]-NRT-code) [i]