MinT - Best Known (76−58, 76, s)-Nets in Base 8

Best Known (76−58, 76, s)-Nets in Base 8

(76−58, 76, 65)-Net over F₈ — Constructive and digital

Digital (18, 76, 65)-net over F₈, using

t-expansion [i] based on digital (14, 76, 65)-net over F₈, using
- net from sequence [i] based on digital (14, 64)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]

(76−58, 76, 370)-Net in Base 8 — Upper bound on s

There is no (18, 76, 371)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 463 652638 926687 870502 153434 097174 690921 629415 654387 744898 372864 670096 > 8⁷⁶ [i]