MinT - Best Known (114, 160, s)-Nets in Base 3

Best Known (114, 160, s)-Nets in Base 3

(114, 160, 246)-Net over F₃ — Constructive and digital

Digital (114, 160, 246)-net over F₃, using

3¹ times duplication [i] based on digital (113, 159, 246)-net over F₃, using
- trace code for nets [i] based on digital (7, 53, 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]

(114, 160, 423)-Net over F₃ — Digital

Digital (114, 160, 423)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(114, 160, 9807)-Net in Base 3 — Upper bound on s

There is no (114, 160, 9808)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 21898 410158 907638 040884 680026 532094 020335 389625 503740 387023 302630 451009 285057 > 3¹⁶⁰ [i]