MinT - Best Known (60, 118, s)-Nets in Base 9

Best Known (60, 118, s)-Nets in Base 9

(60, 118, 200)-Net over F₉ — Constructive and digital

Digital (60, 118, 200)-net over F₉, using

trace code for nets [i] based on digital (1, 59, 100)-net over F₈₁, using
- net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
    - a function field by SÃ©mirat [i]

(60, 118, 244)-Net over F₉ — Digital

Digital (60, 118, 244)-net over F₉, using

Gilbertâ€“VarÅ¡amov bound [i]

(60, 118, 11120)-Net in Base 9 — Upper bound on s

There is no (60, 118, 11121)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 39918 789712 091870 475141 020687 619192 817321 461073 321080 503161 882825 993137 432265 910008 817716 000148 498956 309707 275241 > 9¹¹⁸ [i]