Information on Result #1009083

Linear OOA(2158, 2796280, F2, 3, 12) (dual of [(2796280, 3), 8388682, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(220, 79, F2, 3, 6) (dual of [(79, 3), 217, 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(2225, 5592560, F2, 3, 12) (dual of [(5592560, 3), 16777455, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(2158, 2559437, F2, 4, 12) (dual of [(2559437, 4), 10237590, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(2158, 2559437, F2, 5, 12) (dual of [(2559437, 5), 12797027, 13]-NRT-code) [i]
4Linear OOA(2158, 2559437, F2, 6, 12) (dual of [(2559437, 6), 15356464, 13]-NRT-code) [i]
5Linear OOA(2158, 2559437, F2, 7, 12) (dual of [(2559437, 7), 17915901, 13]-NRT-code) [i]
6Linear OOA(2158, 2559437, F2, 8, 12) (dual of [(2559437, 8), 20475338, 13]-NRT-code) [i]
7Digital (146, 158, 2559437)-net over F2 [i]
8Linear OOA(2158, 1398140, F2, 6, 12) (dual of [(1398140, 6), 8388682, 13]-NRT-code) [i]OOA Folding