MinT - Information on Result #1227188

Information on Result #1227188

Digital (38, 60, 517)-net over F₆₄, using (u,Â u+v)-construction based on

digital (6, 17, 145)-net over F₆₄, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 5, 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]
  2. 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 (21, 43, 372)-net over F₆₄, using
- net defined by OOA [i] based on linear OOA(64⁴³, 372, F₆₄, 22, 22) (dual of [(372, 22), 8141, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(64⁴³, 4092, F₆₄, 22) (dual of [4092, 4049, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(64⁴³, 4096, F₆₄, 22) (dual of [4096, 4053, 23]-code), using
      - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 64²âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Constructive and linear.

None.

None.