MinT - Best Known (7, 7+20, s)-Nets in Base 27

Best Known (7, 7+20, s)-Nets in Base 27

(7, 7+20, 82)-Net over F₂₇ — Constructive and digital

Digital (7, 27, 82)-net over F₂₇, using

net from sequence [i] based on digital (7, 81)-sequence over F₂₇, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, using
  - a function field by SÃ©mirat [i]

(7, 7+20, 1270)-Net in Base 27 — Upper bound on s

There is no (7, 27, 1271)-net in base 27, because

the generalized Rao bound for nets shows that 27^mÂ â‰¥ 444 701572 364584 103013 538264 641511 415661 > 27²⁷ [i]