MinT - Best Known (76−54, 76, s)-Nets in Base 5

Best Known (76−54, 76, s)-Nets in Base 5

(76−54, 76, 51)-Net over F₅ — Constructive and digital

Digital (22, 76, 51)-net over F₅, using

net from sequence [i] based on digital (22, 50)-sequence over F₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₅ with g(F) = 22 and N(F) ≥ 51, using
  - an explicitly constructive algebraic function field [i]

(76−54, 76, 234)-Net in Base 5 — Upper bound on s

There is no (22, 76, 235)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 144296 223534 337182 632210 768748 770144 992151 199069 781381 > 5⁷⁶ [i]