MinT - Best Known (44−36, 44, s)-Nets in Base 32

Best Known (44−36, 44, s)-Nets in Base 32

(44−36, 44, 98)-Net over F₃₂ — Constructive and digital

Digital (8, 44, 98)-net over F₃₂, using

t-expansion [i] based on digital (7, 44, 98)-net over F₃₂, using
- net from sequence [i] based on digital (7, 97)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 7 and N(F) ≥ 98, using
    - a function field by SÃ©mirat [i]

(44−36, 44, 1155)-Net in Base 32 — Upper bound on s

There is no (8, 44, 1156)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 1 707931 857752 116096 226008 516053 526688 295038 686622 866279 509394 762600 > 32⁴⁴ [i]