MinT - Best Known (17, 93, s)-Nets in Base 7

Best Known (17, 93, s)-Nets in Base 7

(17, 93, 25)-Net over F₇ — Constructive and digital

Digital (17, 93, 25)-net over F₇, using

net from sequence [i] based on digital (17, 24)-sequence over F₇, using
- Niederreiter sequence [i]

(17, 93, 48)-Net over F₇ — Digital

Digital (17, 93, 48)-net over F₇, using

t-expansion [i] based on digital (13, 93, 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]

(17, 93, 268)-Net in Base 7 — Upper bound on s

There is no (17, 93, 269)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 4 005453 040268 064124 052551 720538 504007 329609 701106 369278 849237 711576 883819 264809 > 7⁹³ [i]