MinT - Best Known (17, 17+26, s)-Nets in Base 7

Best Known (17, 17+26, s)-Nets in Base 7

(17, 17+26, 25)-Net over F₇ — Constructive and digital

Digital (17, 43, 25)-net over F₇, using

net from sequence [i] based on digital (17, 24)-sequence over F₇, using
- Niederreiter sequence [i]

(17, 17+26, 48)-Net over F₇ — Digital

Digital (17, 43, 48)-net over F₇, using

t-expansion [i] based on digital (13, 43, 48)-net over F₇, using
- net from sequence [i] based on digital (13, 47)-sequence over F₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₇ with g(F) = 13 and N(F) ≥ 48, using
    - an algebraic function field by Teo [i]

(17, 17+26, 581)-Net in Base 7 — Upper bound on s

There is no (17, 43, 582)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 2 208001 649577 585863 840899 003307 775565 > 7⁴³ [i]