MinT - Best Known (11, 86, s)-Nets in Base 32

Best Known (11, 86, s)-Nets in Base 32

(11, 86, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 86, 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, 86, 1337)-Net in Base 32 — Upper bound on s

There is no (11, 86, 1338)-net in base 32, because

1 times m-reduction [i] would yield (11, 85, 1338)-net in base 32, but
- the generalized Rao bound for nets shows that 32^mÂ â‰¥ 88 859299 095168 488853 478379 199914 429635 695364 738363 383422 775058 006786 582029 099525 226617 562989 696452 875338 322355 725260 202925 609970 > 32⁸⁵ [i]