Information on Result #1009090

Linear OOA(2169, 2797223, F2, 3, 12) (dual of [(2797223, 3), 8391500, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(231, 1022, F2, 3, 6) (dual of [(1022, 3), 3035, 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(2236, 5594446, F2, 3, 12) (dual of [(5594446, 3), 16783102, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(2169, 1398611, F2, 6, 12) (dual of [(1398611, 6), 8391497, 13]-NRT-code) [i]OOA Folding