MinT - Best Known (95, 129, s)-Nets in Base 3

Best Known (95, 129, s)-Nets in Base 3

(95, 129, 264)-Net over F₃ — Constructive and digital

Digital (95, 129, 264)-net over F₃, using

trace code for nets [i] based on digital (9, 43, 88)-net over F₂₇, using
- net from sequence [i] based on digital (9, 87)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 9 and N(F) ≥ 88, using
    - a function field by SÃ©mirat [i]

(95, 129, 491)-Net over F₃ — Digital

Digital (95, 129, 491)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(95, 129, 14960)-Net in Base 3 — Upper bound on s

There is no (95, 129, 14961)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 35 392092 622560 450837 297930 776782 684038 161031 359798 190660 095139 > 3¹²⁹ [i]