MinT - Best Known (14, 34, s)-Nets in Base 7

Best Known (14, 34, s)-Nets in Base 7

(14, 34, 22)-Net over F₇ — Constructive and digital

Digital (14, 34, 22)-net over F₇, using

net from sequence [i] based on digital (14, 21)-sequence over F₇, using
- Niederreiter sequence [i]

(14, 34, 48)-Net over F₇ — Digital

Digital (14, 34, 48)-net over F₇, using

t-expansion [i] based on digital (13, 34, 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]

(14, 34, 557)-Net in Base 7 — Upper bound on s

There is no (14, 34, 558)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 54406 245277 451826 195830 265853 > 7³⁴ [i]