MinT - Best Known (24, 24+18, s)-Nets in Base 7

Best Known (24, 24+18, s)-Nets in Base 7

(24, 24+18, 106)-Net over F₇ — Constructive and digital

Digital (24, 42, 106)-net over F₇, using

trace code for nets [i] based on digital (3, 21, 53)-net over F₄₉, using
- net from sequence [i] based on digital (3, 52)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(24, 24+18, 184)-Net over F₇ — Digital

Digital (24, 42, 184)-net over F₇, using

trace code for nets [i] based on digital (3, 21, 92)-net over F₄₉, using
- net from sequence [i] based on digital (3, 91)-sequence over F₄₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 3 and N(F) ≥ 92, using
    - a curve from the manYPoints database [i]

(24, 24+18, 6067)-Net in Base 7 — Upper bound on s

There is no (24, 42, 6068)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 312283 075931 181253 186550 657992 670905 > 7⁴² [i]