MinT - Best Known (100, 150, s)-Nets in Base 9

Best Known (100, 150, s)-Nets in Base 9

(100, 150, 740)-Net over F₉ — Constructive and digital

Digital (100, 150, 740)-net over F₉, using

t-expansion [i] based on digital (91, 150, 740)-net over F₉, using
- trace code for nets [i] based on digital (16, 75, 370)-net over F₈₁, using
  - net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
      - a function field by GarcÃa and Quoos [i]

(100, 150, 2017)-Net over F₉ — Digital

Digital (100, 150, 2017)-net over F₉, using

Gilbertâ€“VarÅ¡amov bound [i]

(100, 150, 676053)-Net in Base 9 — Upper bound on s

There is no (100, 150, 676054)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 136893 102288 346665 946657 557502 264495 232172 057693 698389 980093 990664 684885 771709 479790 404740 916757 130954 910797 616999 239383 346325 238913 223487 776305 > 9¹⁵⁰ [i]