MinT - Best Known (7, 37, s)-Nets in Base 64

Best Known (7, 37, s)-Nets in Base 64

(7, 37, 177)-Net over F₆₄ — Constructive and digital

Digital (7, 37, 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]

(7, 37, 2901)-Net in Base 64 — Upper bound on s

There is no (7, 37, 2902)-net in base 64, because

the generalized Rao bound for nets shows that 64^mÂ â‰¥ 6 765332 301607 636018 393179 814022 313264 607241 748248 397113 109887 058664 > 64³⁷ [i]