MinT - Best Known (130, 130+96, s)-Nets in Base 3

Best Known (130, 130+96, s)-Nets in Base 3

(130, 130+96, 148)-Net over F₃ — Constructive and digital

Digital (130, 226, 148)-net over F₃, using

trace code for nets [i] based on digital (17, 113, 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]

(130, 130+96, 176)-Net over F₃ — Digital

Digital (130, 226, 176)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(130, 130+96, 1605)-Net in Base 3 — Upper bound on s

There is no (130, 226, 1606)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 678989 853459 482661 276814 271829 226543 157384 599840 493124 987767 915262 083006 320949 913323 093131 612125 510599 311329 > 3²²⁶ [i]