MinT - Best Known (7, 28, s)-Nets in Base 32

Best Known (7, 28, s)-Nets in Base 32

(7, 28, 98)-Net over F₃₂ — Constructive and digital

Digital (7, 28, 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, 28, 1687)-Net in Base 32 — Upper bound on s

There is no (7, 28, 1688)-net in base 32, because

1 times m-reduction [i] would yield (7, 27, 1688)-net in base 32, but
- the generalized Rao bound for nets shows that 32^mÂ â‰¥ 43647 545010 641698 450910 524375 153954 488978 > 32²⁷ [i]