MinT - Information on Result #1180158

Information on Result #1180158

Digital (171, 182, 5242877)-net over F₂, using net defined by OOA based on linear OOA(2¹⁸², 5242877, F₂, 15, 11) (dual of [(5242877, 15), 78642973, 12]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2¹⁸², 5242878, F₂, 5, 11) (dual of [(5242878, 5), 26214208, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴², 1048577, F₂, 5, 5) (dual of [(1048577, 5), 5242843, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2⁴², 1048577, F₂, 4, 5) (dual of [(1048577, 4), 4194266, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (37, 42, 1048577)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(2¹⁴⁰, 4194301, F₂, 5, 11) (dual of [(4194301, 5), 20971365, 12]-NRT-code), using
    - OOA 2-folding [i] based on linear OOA(2¹⁴⁰, 8388602, F₂, 3, 11) (dual of [(8388602, 3), 25165666, 12]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(2¹⁴⁰, large, F₂, 3, 11), 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.