MinT - Best Known (67−56, 67, s)-Nets in Base 32

Best Known (67−56, 67, s)-Nets in Base 32

(67−56, 67, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 67, 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]

(67−56, 67, 1441)-Net in Base 32 — Upper bound on s

There is no (11, 67, 1442)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 70083 140186 127546 176949 081591 641414 982245 892131 860340 385671 819415 412713 851091 939756 351954 238759 845240 > 32⁶⁷ [i]