MinT - Information on Result #3249805

Information on Result #3249805

Digital (153, 162, 8388602)-net over F₂, using 2² times duplication based on digital (151, 160, 8388602)-net over F₂, using

net defined by OOA [i] based on linear OOA(2¹⁶⁰, 8388602, F₂, 9, 9) (dual of [(8388602, 9), 75497258, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(2¹⁶⁰, 8388602, F₂, 8, 9) (dual of [(8388602, 8), 67108656, 10]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2⁴⁴, 4194305, F₂, 8, 4) (dual of [(4194305, 8), 33554396, 5]-NRT-code), using
      - appending 4 arbitrary columns [i] based on linear OOA(2⁴⁴, 4194305, F₂, 4, 4) (dual of [(4194305, 4), 16777176, 5]-NRT-code), using
        appending kth column [i] based on linear OOA(2⁴⁴, 4194305, F₂, 3, 4) (dual of [(4194305, 3), 12582871, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (40, 44, 4194305)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
    2. linear OOA(2¹¹⁶, 4194301, F₂, 8, 9) (dual of [(4194301, 8), 33554292, 10]-NRT-code), using
      - OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹¹⁶, large, F₂, 2, 9), using
        OOAs constructed from BCH codes [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, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.