Information on Result #1009321

Linear OOA(2227, 4893352, F2, 3, 15) (dual of [(4893352, 3), 14679829, 16]-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(2162, 2796201, F2, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(2227, 4893352, F2, 3, 14) (dual of [(4893352, 3), 14679829, 15]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2228, 4893352, F2, 3, 15) (dual of [(4893352, 3), 14679828, 16]-NRT-code) [i]OOA Duplication
3Linear OOA(2229, 4893352, F2, 3, 15) (dual of [(4893352, 3), 14679827, 16]-NRT-code) [i]
4Linear OOA(2227, 4893352, F2, 4, 15) (dual of [(4893352, 4), 19573181, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(2227, 4893352, F2, 5, 15) (dual of [(4893352, 5), 24466533, 16]-NRT-code) [i]
6Linear OOA(2227, 4893352, F2, 6, 15) (dual of [(4893352, 6), 29359885, 16]-NRT-code) [i]
7Linear OOA(2227, 4893352, F2, 7, 15) (dual of [(4893352, 7), 34253237, 16]-NRT-code) [i]
8Linear OOA(2227, 4893352, F2, 8, 15) (dual of [(4893352, 8), 39146589, 16]-NRT-code) [i]
9Digital (212, 227, 4893352)-net over F2 [i]
10Linear OOA(2227, 2446676, F2, 5, 15) (dual of [(2446676, 5), 12233153, 16]-NRT-code) [i]OOA Folding
11Linear OOA(2227, 2446676, F2, 6, 15) (dual of [(2446676, 6), 14679829, 16]-NRT-code) [i]