MinT - Best Known (14, 14+80, s)-Nets in Base 32

Best Known (14, 14+80, s)-Nets in Base 32

(14, 14+80, 120)-Net over F₃₂ — Constructive and digital

Digital (14, 94, 120)-net over F₃₂, using

t-expansion [i] based on digital (11, 94, 120)-net over F₃₂, using
- net from sequence [i] based on digital (11, 119)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
    - a function field by SÃ©mirat [i]

(14, 14+80, 146)-Net over F₃₂ — Digital

Digital (14, 94, 146)-net over F₃₂, using

net from sequence [i] based on digital (14, 145)-sequence over F₃₂, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 14 and N(F) ≥ 146, using
  - a curve from the manYPoints database [i]

(14, 14+80, 1731)-Net in Base 32 — Upper bound on s

There is no (14, 94, 1732)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 3100 979289 445778 544406 050691 884200 551362 988576 773847 715514 717472 645156 872873 772056 212849 171655 880204 146506 511594 730024 891312 953346 815148 342680 > 32⁹⁴ [i]