MinT - Information on Result #1227085

Information on Result #1227085

Digital (31, 49, 600)-net over F₆₄, using (u,Â u+v)-construction based on

digital (5, 14, 145)-net over F₆₄, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 4, 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, 10, 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 (17, 35, 455)-net over F₆₄, using
- net defined by OOA [i] based on linear OOA(64³⁵, 455, F₆₄, 18, 18) (dual of [(455, 18), 8155, 19]-NRT-code), using
  - OA 9-folding and stacking [i] based on linear OA(64³⁵, 4095, F₆₄, 18) (dual of [4095, 4060, 19]-code), using
    - discarding factors / shortening the dual code based on linear OA(64³⁵, 4096, F₆₄, 18) (dual of [4096, 4061, 19]-code), using
      - an extension C_e(17) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 64²âˆ’1, defining interval IÂ =Â [1,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]

Mode: Constructive and linear.

None.

None.