MinT - Best Known (14, 84, s)-Nets in Base 32

Best Known (14, 84, s)-Nets in Base 32

(14, 84, 120)-Net over F₃₂ — Constructive and digital

Digital (14, 84, 120)-net over F₃₂, using

t-expansion [i] based on digital (11, 84, 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, 84, 146)-Net over F₃₂ — Digital

Digital (14, 84, 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, 84, 1819)-Net in Base 32 — Upper bound on s

There is no (14, 84, 1820)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 2 730664 994199 297573 932171 574805 712950 082115 581098 537270 151414 502260 968578 317487 304894 515059 349364 260793 568018 100903 857540 503656 > 32⁸⁴ [i]