MinT - Best Known (150, 208, s)-Nets in Base 3

Best Known (150, 208, s)-Nets in Base 3

(150, 208, 288)-Net over F₃ — Constructive and digital

Digital (150, 208, 288)-net over F₃, using

3¹ times duplication [i] based on digital (149, 207, 288)-net over F₃, using
- trace code for nets [i] based on digital (11, 69, 96)-net over F₂₇, using
  - net from sequence [i] based on digital (11, 95)-sequence over F₂₇, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96, using
      - an explicitly constructive algebraic function field [i]

(150, 208, 585)-Net over F₃ — Digital

Digital (150, 208, 585)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(150, 208, 15395)-Net in Base 3 — Upper bound on s

There is no (150, 208, 15396)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 1743 551788 064518 814818 767355 917290 815038 435372 165661 779027 899730 975706 510811 328860 703344 293806 911913 > 3²⁰⁸ [i]