MinT - Best Known (11, 11+49, s)-Nets in Base 32

Best Known (11, 11+49, s)-Nets in Base 32

(11, 11+49, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 60, 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+49, 1573)-Net in Base 32 — Upper bound on s

There is no (11, 60, 1574)-net in base 32, because

1 times m-reduction [i] would yield (11, 59, 1574)-net in base 32, but
- the generalized Rao bound for nets shows that 32^mÂ â‰¥ 64404 478520 316192 400957 284289 154628 159089 200020 324637 210753 789967 725700 861261 216979 817252 > 32⁵⁹ [i]