MinT - Information on Result #1180102

Information on Result #1180102

Digital (135, 146, 4194305)-net over F₂, using net defined by OOA based on linear OOA(2¹⁴⁶, 4194305, F₂, 15, 11) (dual of [(4194305, 15), 62914429, 12]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2¹⁴⁶, 4194306, F₂, 5, 11) (dual of [(4194306, 5), 20971384, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁶, 5, F₂, 5, 5) (dual of [(5, 5), 19, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2⁶, 5, F₂, 4, 5) (dual of [(5, 4), 14, 6]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [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.