Information on Result #1009259

Linear OOA(2226, 4893352, F2, 3, 14) (dual of [(4893352, 3), 14679830, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 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(2228, 4893352, F2, 3, 14) (dual of [(4893352, 3), 14679828, 15]-NRT-code) [i]OOA Duplication
2Linear OOA(2226, 2446676, F2, 5, 14) (dual of [(2446676, 5), 12233154, 15]-NRT-code) [i]OOA Folding
3Linear OOA(2226, 2446676, F2, 6, 14) (dual of [(2446676, 6), 14679830, 15]-NRT-code) [i]