MinT - Best Known (11, 11+63, s)-Nets in Base 32

Best Known (11, 11+63, s)-Nets in Base 32

(11, 11+63, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 74, 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+63, 1387)-Net in Base 32 — Upper bound on s

There is no (11, 74, 1388)-net in base 32, because

1 times m-reduction [i] would yield (11, 73, 1388)-net in base 32, but
- the generalized Rao bound for nets shows that 32^mÂ â‰¥ 76 770237 734820 793107 722799 283906 308915 625368 325534 049938 391687 649913 188255 974382 083083 893781 587998 974073 009592 > 32⁷³ [i]