MinT - Best Known (57−46, 57, s)-Nets in Base 32

Best Known (57−46, 57, s)-Nets in Base 32

(57−46, 57, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 57, 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]

(57−46, 57, 1622)-Net in Base 32 — Upper bound on s

There is no (11, 57, 1623)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 62 812001 490822 999640 027843 841330 472237 184083 892893 183851 967094 388070 722300 819238 696608 > 32⁵⁷ [i]