MinT - Best Known (11, 11+32, s)-Nets in Base 49

Best Known (11, 11+32, s)-Nets in Base 49

(11, 11+32, 61)-Net over F₄₉ — Constructive and digital

Digital (11, 43, 61)-net over F₄₉, using

net from sequence [i] based on digital (11, 60)-sequence over F₄₉, using
- Niederreiter sequence [i]

(11, 11+32, 92)-Net over F₄₉ — Digital

Digital (11, 43, 92)-net over F₄₉, using

t-expansion [i] based on digital (3, 43, 92)-net over F₄₉, using
- net from sequence [i] based on digital (3, 91)-sequence over F₄₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 3 and N(F) ≥ 92, using
    - a curve from the manYPoints database [i]

(11, 11+32, 4931)-Net in Base 49 — Upper bound on s

There is no (11, 43, 4932)-net in base 49, because

the generalized Rao bound for nets shows that 49^mÂ â‰¥ 4 771261 222729 249848 145847 750441 807103 158066 740651 979658 551358 400589 921281 > 49⁴³ [i]