MinT - Best Known (63−52, 63, s)-Nets in Base 32

Best Known (63−52, 63, s)-Nets in Base 32

(63−52, 63, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 63, 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]

(63−52, 63, 1496)-Net in Base 32 — Upper bound on s

There is no (11, 63, 1497)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 66915 342740 049356 656038 112905 966533 285349 482974 164466 833059 626618 517633 550696 394522 818385 414688 > 32⁶³ [i]