MinT - Information on Result #1229593

Information on Result #1229593

Digital (54, 73, 271)-net over F₇, using generalized (u,Â u+v)-construction based on

digital (2, 6, 21)-net over F₇, using
- net defined by OOA [i] based on linear OOA(7⁶, 21, F₇, 4, 4) (dual of [(21, 4), 78, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(7⁶, 21, F₇, 3, 4) (dual of [(21, 3), 57, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(7⁶, 42, F₇, 4) (dual of [42, 36, 5]-code), using
      - 1 times truncation [i] based on linear OA(7⁷, 43, F₇, 5) (dual of [43, 36, 6]-code), using
        a code by Danev and Olsson [i]
digital (5, 11, 50)-net over F₇, using
- base reduction for projective spaces (embedding PG(5,49) in PG(10,7)) for nets [i] based on digital (0, 6, 50)-net over F₄₉, using
  - net from sequence [i] based on digital (0, 49)-sequence over F₄₉, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
      - the rational function field F₄₉(x) [i]
    - Niederreiter sequence [i]
digital (9, 18, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 9, 50)-net over F₄₉, using
  - net from sequence [i] based on digital (0, 49)-sequence over F₄₉ (see above)
digital (19, 38, 100)-net over F₇, using
- trace code for nets [i] based on digital (0, 19, 50)-net over F₄₉, using
  - net from sequence [i] based on digital (0, 49)-sequence over F₄₉ (see above)

Mode: Constructive and linear.

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None.