MinT - Information on Result #1205606

Information on Result #1205606

Digital (25, 36, 1030)-net over F₁₆, using trace code for nets based on digital (7, 18, 515)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256¹⁸, 515, F₂₅₆, 15, 11) (dual of [(515, 15), 7707, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256¹⁸, 516, F₂₅₆, 5, 11) (dual of [(516, 5), 2562, 12]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁶, 258, F₂₅₆, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
      - appending kth column [i] based on linear OOA(256⁶, 258, F₂₅₆, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 6, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
    2. linear OOA(256¹², 258, F₂₅₆, 5, 11) (dual of [(258, 5), 1278, 12]-NRT-code), using
      - extracting embedded OOA [i] based on digital (1, 12, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆ (see above)

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.