MinT - Best Known (120−82, 120, s)-Nets in Base 5

Best Known (120−82, 120, s)-Nets in Base 5

(120−82, 120, 78)-Net over F₅ — Constructive and digital

Digital (38, 120, 78)-net over F₅, using

net from sequence [i] based on digital (38, 77)-sequence over F₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₅ with g(F) = 38 and N(F) ≥ 78, using
  - an explicitly constructive algebraic function field [i]

(120−82, 120, 418)-Net in Base 5 — Upper bound on s

There is no (38, 120, 419)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 765805 667420 911807 249758 324808 198066 146435 000448 367392 477168 387200 310247 682810 812397 > 5¹²⁰ [i]