MinT - Best Known (32−26, 32, s)-Nets in Base 49

Best Known (32−26, 32, s)-Nets in Base 49

(32−26, 32, 56)-Net over F₄₉ — Constructive and digital

Digital (6, 32, 56)-net over F₄₉, using

net from sequence [i] based on digital (6, 55)-sequence over F₄₉, using
- Niederreiter sequence [i]

(32−26, 32, 92)-Net over F₄₉ — Digital

Digital (6, 32, 92)-net over F₄₉, using

t-expansion [i] based on digital (3, 32, 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]

(32−26, 32, 1702)-Net in Base 49 — Upper bound on s

There is no (6, 32, 1703)-net in base 49, because

the generalized Rao bound for nets shows that 49^mÂ â‰¥ 1 225689 623659 944611 603156 840170 017986 405921 186883 968785 > 49³² [i]