MinT - Best Known (76, 130, s)-Nets in Base 5

Best Known (76, 130, s)-Nets in Base 5

(76, 130, 252)-Net over F₅ — Constructive and digital

Digital (76, 130, 252)-net over F₅, using

2 times m-reduction [i] based on digital (76, 132, 252)-net over F₅, using
- trace code for nets [i] based on digital (10, 66, 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]

(76, 130, 6315)-Net in Base 5 — Upper bound on s

There is no (76, 130, 6316)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 7 364495 592569 263321 606071 494810 872835 210805 470503 721671 029500 567351 540163 469963 176218 322865 > 5¹³⁰ [i]