MinT - Best Known (134−60, 134, s)-Nets in Base 8

Best Known (134−60, 134, s)-Nets in Base 8

(134−60, 134, 354)-Net over F₈ — Constructive and digital

Digital (74, 134, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 67, 177)-net over F₆₄, using
- net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [i]

(134−60, 134, 18580)-Net in Base 8 — Upper bound on s

There is no (74, 134, 18581)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 10 339874 456426 737934 432517 052224 383904 667651 259363 790660 387044 717837 302168 394691 937680 345040 423206 591882 106018 111589 977920 > 8¹³⁴ [i]