MinT - Best Known (75−64, 75, s)-Nets in Base 32

Best Known (75−64, 75, s)-Nets in Base 32

(75−64, 75, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 75, 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]

(75−64, 75, 1374)-Net in Base 32 — Upper bound on s

There is no (11, 75, 1375)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 78480 865387 222068 313752 663761 494637 187088 504848 381862 432552 670133 491396 646795 536482 580890 425251 521944 120192 155506 > 32⁷⁵ [i]