MinT - Best Known (16, 64, s)-Nets in Base 8

Best Known (16, 64, s)-Nets in Base 8

(16, 64, 65)-Net over F₈ — Constructive and digital

Digital (16, 64, 65)-net over F₈, using

t-expansion [i] based on digital (14, 64, 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]

(16, 64, 343)-Net in Base 8 — Upper bound on s

There is no (16, 64, 344)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 6373 002289 621545 630556 562101 804762 805921 294462 022196 182424 > 8⁶⁴ [i]