Information on Result #1009253

Linear OOA(2208, 2828968, F2, 3, 14) (dual of [(2828968, 3), 8486696, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(247, 32767, F2, 3, 7) (dual of [(32767, 3), 98254, 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(2210, 2828968, F2, 3, 14) (dual of [(2828968, 3), 8486694, 15]-NRT-code) [i]OOA Duplication
2Linear OOA(2208, 2828968, F2, 4, 14) (dual of [(2828968, 4), 11315664, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(2208, 2828968, F2, 5, 14) (dual of [(2828968, 5), 14144632, 15]-NRT-code) [i]
4Linear OOA(2208, 2828968, F2, 6, 14) (dual of [(2828968, 6), 16973600, 15]-NRT-code) [i]
5Linear OOA(2208, 2828968, F2, 7, 14) (dual of [(2828968, 7), 19802568, 15]-NRT-code) [i]
6Linear OOA(2208, 2828968, F2, 8, 14) (dual of [(2828968, 8), 22631536, 15]-NRT-code) [i]
7Digital (194, 208, 2828968)-net over F2 [i]
8Linear OOA(2208, 1414484, F2, 6, 14) (dual of [(1414484, 6), 8486696, 15]-NRT-code) [i]OOA Folding