MinT - Best Known (170, 240, s)-Nets in Base 3

Best Known (170, 240, s)-Nets in Base 3

(170, 240, 282)-Net over F₃ — Constructive and digital

Digital (170, 240, 282)-net over F₃, using

trace code for nets [i] based on digital (10, 80, 94)-net over F₂₇, using
- net from sequence [i] based on digital (10, 93)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 10 and N(F) ≥ 94, using
    - a function field by SÃ©mirat [i]

(170, 240, 569)-Net over F₃ — Digital

Digital (170, 240, 569)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(170, 240, 12964)-Net in Base 3 — Upper bound on s

There is no (170, 240, 12965)-net in base 3, because

the generalized Rao bound for nets shows that 3^mÂ â‰¥ 3 230020 155323 350685 203033 826658 350423 541661 090409 566856 828830 325991 152880 967926 428821 589548 995969 216150 065920 625643 > 3²⁴⁰ [i]