MinT - Best Known (118, 202, s)-Nets in Base 3

Best Known (118, 202, s)-Nets in Base 3

(118, 202, 148)-Net over F₃ — Constructive and digital

Digital (118, 202, 148)-net over F₃, using

trace code for nets [i] based on digital (17, 101, 74)-net over F₉, using
- net from sequence [i] based on digital (17, 73)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [i]

(118, 202, 169)-Net over F₃ — Digital

Digital (118, 202, 169)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(118, 202, 1586)-Net in Base 3 — Upper bound on s

There is no (118, 202, 1587)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 2 431028 156106 519553 773948 372466 907664 966869 178672 037233 254203 499214 202191 642299 136123 958625 263989 > 3²⁰² [i]