MinT - Best Known (96, 142, s)-Nets in Base 5

Best Known (96, 142, s)-Nets in Base 5

(96, 142, 400)-Net over F₅ — Constructive and digital

Digital (96, 142, 400)-net over F₅, using

trace code for nets [i] based on digital (25, 71, 200)-net over F₂₅, using
- net from sequence [i] based on digital (25, 199)-sequence over F₂₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200, using
    - a function field by GarcÃa and Quoos [i]

(96, 142, 721)-Net over F₅ — Digital

Digital (96, 142, 721)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(96, 142, 48710)-Net in Base 5 — Upper bound on s

There is no (96, 142, 48711)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 1793 664400 460672 001380 178808 097118 281880 882151 165653 059377 725800 763960 897525 914481 400281 564405 798725 > 5¹⁴² [i]