MinT - Best Known (48, 94, s)-Nets in Base 8

Best Known (48, 94, s)-Nets in Base 8

(48, 94, 160)-Net over F₈ — Constructive and digital

Digital (48, 94, 160)-net over F₈, using

trace code for nets [i] based on digital (1, 47, 80)-net over F₆₄, using
- net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
    - a function field by SÃ©mirat [i]

(48, 94, 182)-Net over F₈ — Digital

Digital (48, 94, 182)-net over F₈, using

Gilbertâ€“VarÅ¡amov bound [i]

(48, 94, 6596)-Net in Base 8 — Upper bound on s

There is no (48, 94, 6597)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 7 786142 319286 018625 560026 388083 599609 132127 958830 557645 160593 247291 069238 506995 934016 > 8⁹⁴ [i]