MinT - Best Known (79−68, 79, s)-Nets in Base 32

Best Known (79−68, 79, s)-Nets in Base 32

(79−68, 79, 120)-Net over F₃₂ — Constructive and digital

Digital (11, 79, 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]

(79−68, 79, 1354)-Net in Base 32 — Upper bound on s

There is no (11, 79, 1355)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 81671 715821 628997 482955 180517 391306 351482 111417 884331 218392 754622 031273 289218 919396 922333 464273 750759 683812 647545 241422 > 32⁷⁹ [i]