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

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

(60, 60+60, 130)-Net over F₈ — Constructive and digital

Digital (60, 120, 130)-net over F₈, using

trace code for nets [i] based on digital (0, 60, 65)-net over F₆₄, using
- net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
    - the rational function field F₆₄(x) [i]
  - Niederreiter sequence [i]

(60, 60+60, 202)-Net over F₈ — Digital

Digital (60, 120, 202)-net over F₈, using

Gilbertâ€“VarÅ¡amov bound [i]

(60, 60+60, 7028)-Net in Base 8 — Upper bound on s

There is no (60, 120, 7029)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 2 348731 830492 612989 581073 221633 765358 495716 212637 173244 318437 618919 167535 260239 227573 247872 638463 841986 458640 > 8¹²⁰ [i]