MinT - Best Known (144, 200, s)-Nets in Base 3

Best Known (144, 200, s)-Nets in Base 3

(144, 200, 282)-Net over F₃ — Constructive and digital

Digital (144, 200, 282)-net over F₃, using

1 times m-reduction [i] based on digital (144, 201, 282)-net over F₃, using
- trace code for nets [i] based on digital (10, 67, 94)-net over F₂₇, using
  - net from sequence [i] based on digital (10, 93)-sequence over F₂₇, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 10 and N(F) ≥ 94, using
      - a function field by SÃ©mirat [i]

(144, 200, 558)-Net over F₃ — Digital

Digital (144, 200, 558)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(144, 200, 14426)-Net in Base 3 — Upper bound on s

There is no (144, 200, 14427)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 265929 632669 146112 477213 022794 690884 699933 610193 729029 350839 296733 636446 071319 286322 942985 263017 > 3²⁰⁰ [i]