MinT - Best Known (7, 7+24, s)-Nets in Base 64

Best Known (7, 7+24, s)-Nets in Base 64

(7, 7+24, 177)-Net over F₆₄ — Constructive and digital

Digital (7, 31, 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, 7+24, 3884)-Net in Base 64 — Upper bound on s

There is no (7, 31, 3885)-net in base 64, because

the generalized Rao bound for nets shows that 64^mÂ â‰¥ 98 190030 427118 262552 121355 212122 824053 036580 597248 965205 > 64³¹ [i]