MinT - Best Known (94, 130, s)-Nets in Base 3

Best Known (94, 130, s)-Nets in Base 3

(94, 130, 246)-Net over F₃ — Constructive and digital

Digital (94, 130, 246)-net over F₃, using

3¹ times duplication [i] based on digital (93, 129, 246)-net over F₃, using
- trace code for nets [i] based on digital (7, 43, 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]

(94, 130, 410)-Net over F₃ — Digital

Digital (94, 130, 410)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(94, 130, 10525)-Net in Base 3 — Upper bound on s

There is no (94, 130, 10526)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 106 149104 999167 035274 575785 900811 047380 044266 570397 804375 865309 > 3¹³⁰ [i]