MinT - Information on Result #1205615

Information on Result #1205615

Digital (28, 40, 1030)-net over F₁₆, using trace code for nets based on digital (8, 20, 515)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256²⁰, 515, F₂₅₆, 18, 12) (dual of [(515, 18), 9250, 13]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256²⁰, 516, F₂₅₆, 6, 12) (dual of [(516, 6), 3076, 13]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁷, 258, F₂₅₆, 6, 6) (dual of [(258, 6), 1541, 7]-NRT-code), using
      - appending kth column [i] based on linear OOA(256⁷, 258, F₂₅₆, 5, 6) (dual of [(258, 5), 1283, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 7, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
    2. linear OOA(256¹³, 258, F₂₅₆, 6, 12) (dual of [(258, 6), 1535, 13]-NRT-code), using
      - extracting embedded OOA [i] based on digital (1, 13, 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.