MinT - Best Known (120, 120+94, s)-Nets in Base 3

Best Known (120, 120+94, s)-Nets in Base 3

(120, 120+94, 128)-Net over F₃ — Constructive and digital

Digital (120, 214, 128)-net over F₃, using

trace code for nets [i] based on digital (13, 107, 64)-net over F₉, using
- net from sequence [i] based on digital (13, 63)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
    - a function field by GarcÃa and Quoos [i]

(120, 120+94, 152)-Net over F₃ — Digital

Digital (120, 214, 152)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(120, 120+94, 1320)-Net in Base 3 — Upper bound on s

There is no (120, 214, 1321)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 1 302130 285880 473788 895686 267043 911116 197533 061829 321343 000062 129734 174903 491936 643647 766345 688142 163083 > 3²¹⁴ [i]