MinT - Information on Result #1210957

Information on Result #1210957

Digital (190, 211, 839055)-net over F₄, using (u,Â u+v)-construction based on

digital (20, 30, 195)-net over F₄, using
- trace code for nets [i] based on digital (0, 10, 65)-net over F₆₄, using
  - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
    - generalized Faure sequence [i]
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
      - the rational function field F₆₄(x) [i]
    - Niederreiter sequence [i]
digital (160, 181, 838860)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4¹⁸¹, 838860, F₄, 21, 21) (dual of [(838860, 21), 17615879, 22]-NRT-code), using
  - OOA 10-folding and stacking with additional row [i] based on linear OA(4¹⁸¹, 8388601, F₄, 21) (dual of [8388601, 8388420, 22]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹⁸¹, large, F₄, 21) (dual of [large, large−181, 22]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Constructive and linear.

None.

The following results depend on this result: