MinT - Best Known (141, 141+60, s)-Nets in Base 3

Best Known (141, 141+60, s)-Nets in Base 3

(141, 141+60, 246)-Net over F₃ — Constructive and digital

Digital (141, 201, 246)-net over F₃, using

trace code for nets [i] based on digital (7, 67, 82)-net over F₂₇, using
- net from sequence [i] based on digital (7, 81)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, using
    - a function field by SÃ©mirat [i]

(141, 141+60, 452)-Net over F₃ — Digital

Digital (141, 201, 452)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(141, 141+60, 9443)-Net in Base 3 — Upper bound on s

There is no (141, 201, 9444)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 798915 543632 046778 029515 985634 920160 684204 508898 985947 095451 258543 886609 328822 359109 023275 496473 > 3²⁰¹ [i]