MinT - Best Known (8, 46, s)-Nets in Base 64

Best Known (8, 46, s)-Nets in Base 64

(8, 46, 177)-Net over F₆₄ — Constructive and digital

Digital (8, 46, 177)-net over F₆₄, using

t-expansion [i] based on digital (7, 46, 177)-net over F₆₄, using
- net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [i]

(8, 46, 2960)-Net in Base 64 — Upper bound on s

There is no (8, 46, 2961)-net in base 64, because

the generalized Rao bound for nets shows that 64^mÂ â‰¥ 121778 217941 232626 777646 488987 361874 571383 684008 374974 018318 203780 889063 113853 997440 > 64⁴⁶ [i]