MinT - Best Known (92−76, 92, s)-Nets in Base 7

Best Known (92−76, 92, s)-Nets in Base 7

(92−76, 92, 24)-Net over F₇ — Constructive and digital

Digital (16, 92, 24)-net over F₇, using

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

(92−76, 92, 48)-Net over F₇ — Digital

Digital (16, 92, 48)-net over F₇, using

t-expansion [i] based on digital (13, 92, 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]

(92−76, 92, 254)-Net in Base 7 — Upper bound on s

There is no (16, 92, 255)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 621312 770579 136672 800215 717786 645928 518514 106975 622576 604608 246505 913679 495453 > 7⁹² [i]