MinT - Information on Result #1227017

Information on Result #1227017

Digital (28, 44, 657)-net over F₆₄, using (u,Â u+v)-construction based on

digital (5, 13, 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, 9, 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 (15, 31, 512)-net over F₆₄, using
- net defined by OOA [i] based on linear OOA(64³¹, 512, F₆₄, 16, 16) (dual of [(512, 16), 8161, 17]-NRT-code), using
  - OA 8-folding and stacking [i] based on linear OA(64³¹, 4096, F₆₄, 16) (dual of [4096, 4065, 17]-code), using
    - an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 64²âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive and linear.

None.

None.