MinT - Best Known (11, 11+78, s)-Nets in Base 32

Best Known (11, 11+78, s)-Nets in Base 32

(11, 11+78, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 89, 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+78, 1331)-Net in Base 32 — Upper bound on s

There is no (11, 89, 1332)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 92 051647 093144 787758 263870 820558 793332 822116 796928 323350 574944 681758 919169 976672 146879 325643 556994 791644 301438 011275 603967 049427 538900 > 32⁸⁹ [i]