MinT - Best Known (100, 146, s)-Nets in Base 9

Best Known (100, 146, s)-Nets in Base 9

(100, 146, 740)-Net over F₉ — Constructive and digital

Digital (100, 146, 740)-net over F₉, using

t-expansion [i] based on digital (91, 146, 740)-net over F₉, using
- 4 times m-reduction [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, 146, 2771)-Net over F₉ — Digital

Digital (100, 146, 2771)-net over F₉, using

Gilbertâ€“VarÅ¡amov bound [i]

(100, 146, 1345015)-Net in Base 9 — Upper bound on s

There is no (100, 146, 1345016)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 20 864581 541307 904516 826776 365929 378989 333899 546676 396120 120406 764475 616652 552381 560629 348106 014183 967037 836157 938588 187658 848335 270217 958721 > 9¹⁴⁶ [i]