MinT - Best Known (76, 108, s)-Nets in Base 5

Best Known (76, 108, s)-Nets in Base 5

(76, 108, 296)-Net over F₅ — Constructive and digital

Digital (76, 108, 296)-net over F₅, using

6 times m-reduction [i] based on digital (76, 114, 296)-net over F₅, using
- trace code for nets [i] based on digital (19, 57, 148)-net over F₂₅, using
  - net from sequence [i] based on digital (19, 147)-sequence over F₂₅, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, using
      - a function field by GarcÃa and Quoos [i]

(76, 108, 861)-Net over F₅ — Digital

Digital (76, 108, 861)-net over F₅, using

Gilbertâ€“VarÅ¡amov bound [i]

(76, 108, 88811)-Net in Base 5 — Upper bound on s

There is no (76, 108, 88812)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 3081 671477 973773 514407 226648 252623 261739 323833 315366 752374 679492 651875 436545 > 5¹⁰⁸ [i]