MinT - Best Known (20, 66, s)-Nets in Base 81

Best Known (20, 66, s)-Nets in Base 81

(20, 66, 370)-Net over F₈₁ — Constructive and digital

Digital (20, 66, 370)-net over F₈₁, using

t-expansion [i] based on digital (16, 66, 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, 66, 35297)-Net in Base 81 — Upper bound on s

There is no (20, 66, 35298)-net in base 81, because

the generalized Rao bound for nets shows that 81^mÂ â‰¥ 912054 970958 448528 597347 594384 468705 431238 796023 344269 511064 592234 204236 689386 987178 922224 470293 039653 455916 799892 047661 127521 > 81⁶⁶ [i]