MinT - Best Known (11, 62, s)-Nets in Base 32

Best Known (11, 62, s)-Nets in Base 32

(11, 62, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 62, 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, 62, 1531)-Net in Base 32 — Upper bound on s

There is no (11, 62, 1532)-net in base 32, because

1 times m-reduction [i] would yield (11, 61, 1532)-net in base 32, but
- the generalized Rao bound for nets shows that 32^mÂ â‰¥ 65 325843 395656 989821 540057 607918 498708 155225 256088 655292 138268 989809 548351 018937 511606 296103 > 32⁶¹ [i]