MinT - Best Known (14, 14+56, s)-Nets in Base 32

Best Known (14, 14+56, s)-Nets in Base 32

(14, 14+56, 120)-Net over F₃₂ — Constructive and digital

Digital (14, 70, 120)-net over F₃₂, using

t-expansion [i] based on digital (11, 70, 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+56, 146)-Net over F₃₂ — Digital

Digital (14, 70, 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+56, 2096)-Net in Base 32 — Upper bound on s

There is no (14, 70, 2097)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 2300 681431 659044 124475 983455 892863 344846 116066 258514 781065 559124 353784 852293 615395 538498 825852 497179 567400 > 32⁷⁰ [i]