MinT - Information on Result #1230521

Information on Result #1230521

Digital (31, 44, 1148)-net over F₁₆, using generalized (u,Â u+v)-construction based on

digital (2, 6, 120)-net over F₁₆, using
- net defined by OOA [i] based on linear OOA(16⁶, 120, F₁₆, 4, 4) (dual of [(120, 4), 474, 5]-NRT-code), using
  - OA 2-folding and stacking [i] based on linear OA(16⁶, 240, F₁₆, 4) (dual of [240, 234, 5]-code), using
    - 1 times truncation [i] based on linear OA(16⁷, 241, F₁₆, 5) (dual of [241, 234, 6]-code), using
      - a code by Danev and Olsson [i]
digital (6, 12, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 6, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
      - the rational function field F₂₅₆(x) [i]
    - Niederreiter sequence [i]
digital (13, 26, 514)-net over F₁₆, using
- trace code for nets [i] based on digital (0, 13, 257)-net over F₂₅₆, using
  - net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆ (see above)

Mode: Constructive and linear.

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