MinT - Best Known (16, 70, s)-Nets in Base 7

Best Known (16, 70, s)-Nets in Base 7

(16, 70, 24)-Net over F₇ — Constructive and digital

Digital (16, 70, 24)-net over F₇, using

net from sequence [i] based on digital (16, 23)-sequence over F₇, using
- Niederreiter sequence [i]

(16, 70, 48)-Net over F₇ — Digital

Digital (16, 70, 48)-net over F₇, using

t-expansion [i] based on digital (13, 70, 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]

(16, 70, 265)-Net in Base 7 — Upper bound on s

There is no (16, 70, 266)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 150659 396173 028370 283430 813306 408694 048133 780450 185832 440793 > 7⁷⁰ [i]