MinT - Best Known (11, 11+61, s)-Nets in Base 32

Best Known (11, 11+61, s)-Nets in Base 32

(11, 11+61, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 72, 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]

(11, 11+61, 1402)-Net in Base 32 — Upper bound on s

There is no (11, 72, 1403)-net in base 32, because

1 times m-reduction [i] would yield (11, 71, 1403)-net in base 32, but
- the generalized Rao bound for nets shows that 32^mÂ â‰¥ 74377 047820 103239 813550 622233 794832 163117 472310 273572 825543 060836 585652 732655 270956 988776 843162 574301 667256 > 32⁷¹ [i]