MinT - Best Known (16−10, 16, s)-Nets in Base 7

Best Known (16−10, 16, s)-Nets in Base 7

(16−10, 16, 21)-Net over F₇ — Constructive and digital

Digital (6, 16, 21)-net over F₇, using

Niederreiter sequence (Bratleyâ€“Foxâ€“Niederreiter implementation) with equidistant coordinate [i]

(16−10, 16, 24)-Net over F₇ — Digital

Digital (6, 16, 24)-net over F₇, using

t-expansion [i] based on digital (4, 16, 24)-net over F₇, using
- net from sequence [i] based on digital (4, 23)-sequence over F₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₇ with g(F) = 4 and N(F) ≥ 24, using
    - an algebraic function field over â„¤₇ by Yeo [i]

(16−10, 16, 216)-Net in Base 7 — Upper bound on s

There is no (6, 16, 217)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 33 259134 426295 > 7¹⁶ [i]