Information on Result #894421

Linear OOA(2257, 4325373, F2, 2, 17) (dual of [(4325373, 2), 8650489, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(272, 131072, F2, 2, 8) (dual of [(131072, 2), 262072, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(272, 262144, F2, 8) (dual of [262144, 262072, 9]-code), using
      • 1 times truncation [i] based on linear OA(273, 262145, F2, 9) (dual of [262145, 262072, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using

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(2257, 2162686, F2, 4, 17) (dual of [(2162686, 4), 8650487, 18]-NRT-code) [i]OOA Folding
2Linear OOA(2257, 1441791, F2, 6, 17) (dual of [(1441791, 6), 8650489, 18]-NRT-code) [i]
3Linear OOA(2257, 1081343, F2, 8, 17) (dual of [(1081343, 8), 8650487, 18]-NRT-code) [i]