MinT - Best Known (29−24, 29, s)-Nets in Base 32

Best Known (29−24, 29, s)-Nets in Base 32

(29−24, 29, 76)-Net over F₃₂ — Constructive and digital

Digital (5, 29, 76)-net over F₃₂, using

net from sequence [i] based on digital (5, 75)-sequence over F₃₂, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 5 and N(F) ≥ 76, using
  - a function field by SÃ©mirat [i]

(29−24, 29, 83)-Net over F₃₂ — Digital

Digital (5, 29, 83)-net over F₃₂, using

net from sequence [i] based on digital (5, 82)-sequence over F₃₂, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 5 and N(F) ≥ 83, using
  - a curve from the manYPoints database [i]

(29−24, 29, 734)-Net in Base 32 — Upper bound on s

There is no (5, 29, 735)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 44 972848 750543 045975 547792 522015 962823 942673 > 32²⁹ [i]