MinT - Best Known (33, 77, s)-Nets in Base 7

Best Known (33, 77, s)-Nets in Base 7

(33, 77, 35)-Net over F₇ — Constructive and digital

Digital (33, 77, 35)-net over F₇, using

net from sequence [i] based on digital (33, 34)-sequence over F₇, using
- Niederreiter sequence [i]

(33, 77, 96)-Net over F₇ — Digital

Digital (33, 77, 96)-net over F₇, using

net from sequence [i] based on digital (33, 95)-sequence over F₇, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₇ with g(F) = 33 and N(F) ≥ 96, using
  - an algebraic function field by Teo [i]

(33, 77, 1355)-Net in Base 7 — Upper bound on s

There is no (33, 77, 1356)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 119466 489619 381167 522122 894930 413360 474116 864436 911351 792684 687337 > 7⁷⁷ [i]