MinT - Best Known (7, 7+50, s)-Nets in Base 32

Best Known (7, 7+50, s)-Nets in Base 32

(7, 7+50, 98)-Net over F₃₂ — Constructive and digital

Digital (7, 57, 98)-net over F₃₂, using

net from sequence [i] based on digital (7, 97)-sequence over F₃₂, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 7 and N(F) ≥ 98, using
  - a function field by SÃ©mirat [i]

(7, 7+50, 874)-Net in Base 32 — Upper bound on s

There is no (7, 57, 875)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 63 220735 771724 860684 660774 421138 572983 376371 120100 313582 193523 605841 293408 174689 940036 > 32⁵⁷ [i]