Information on Result #1009081

Linear OOA(2156, 2796265, F2, 3, 12) (dual of [(2796265, 3), 8388639, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(218, 64, F2, 3, 6) (dual of [(64, 3), 174, 7]-NRT-code), using
  2. linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(2223, 5592530, F2, 3, 12) (dual of [(5592530, 3), 16777367, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(2156, 2152219, F2, 4, 12) (dual of [(2152219, 4), 8608720, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(2156, 2152219, F2, 5, 12) (dual of [(2152219, 5), 10760939, 13]-NRT-code) [i]
4Linear OOA(2156, 2152219, F2, 6, 12) (dual of [(2152219, 6), 12913158, 13]-NRT-code) [i]
5Linear OOA(2156, 2152219, F2, 7, 12) (dual of [(2152219, 7), 15065377, 13]-NRT-code) [i]
6Linear OOA(2156, 2152219, F2, 8, 12) (dual of [(2152219, 8), 17217596, 13]-NRT-code) [i]
7Digital (144, 156, 2152219)-net over F2 [i]
8Linear OOA(2156, 1398132, F2, 6, 12) (dual of [(1398132, 6), 8388636, 13]-NRT-code) [i]OOA Folding