MinT - Best Known (20, 20+60, s)-Nets in Base 81

Best Known (20, 20+60, s)-Nets in Base 81

(20, 20+60, 370)-Net over F₈₁ — Constructive and digital

Digital (20, 80, 370)-net over F₈₁, using

t-expansion [i] based on digital (16, 80, 370)-net over F₈₁, using
- net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
    - a function field by GarcÃa and Quoos [i]

(20, 20+60, 18477)-Net in Base 81 — Upper bound on s

There is no (20, 80, 18478)-net in base 81, because

the generalized Rao bound for nets shows that 81^mÂ â‰¥ 477 717247 984746 710500 444274 395337 273228 232598 078031 943503 911522 188484 311470 065001 789815 815317 034903 439070 416603 028492 928222 727686 811957 914877 367687 451201 > 81⁸⁰ [i]