MinT - Information on Result #1211031

Information on Result #1211031

Digital (207, 229, 762840)-net over F₄, using (u,Â u+v)-construction based on

digital (25, 36, 240)-net over F₄, using
- trace code for nets [i] based on digital (1, 12, 80)-net over F₆₄, using
  - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [i]
digital (171, 193, 762600)-net over F₄, using
- net defined by OOA [i] based on linear OOA(4¹⁹³, 762600, F₄, 22, 22) (dual of [(762600, 22), 16777007, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(4¹⁹³, 8388600, F₄, 22) (dual of [8388600, 8388407, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹⁹³, large, F₄, 22) (dual of [large, large−193, 23]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

Mode: Constructive and linear.

None.

The following results depend on this result: