MinT - Best Known (46, 46+26, s)-Nets in Base 5

Best Known (46, 46+26, s)-Nets in Base 5

(46, 46+26, 252)-Net over F₅ — Constructive and digital

Digital (46, 72, 252)-net over F₅, using

trace code for nets [i] based on digital (10, 36, 126)-net over F₂₅, using
- net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
    - the Hermitian function field over F₂₅ [i]

(46, 46+26, 272)-Net over F₅ — Digital

Digital (46, 72, 272)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(46, 46+26, 10524)-Net in Base 5 — Upper bound on s

There is no (46, 72, 10525)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 212 004483 993168 444008 215482 163185 921580 159302 904581 > 5⁷² [i]