MinT - Best Known (15, 61, s)-Nets in Base 8

Best Known (15, 61, s)-Nets in Base 8

(15, 61, 65)-Net over F₈ — Constructive and digital

Digital (15, 61, 65)-net over F₈, using

t-expansion [i] based on digital (14, 61, 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]

(15, 61, 320)-Net in Base 8 — Upper bound on s

There is no (15, 61, 321)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 12 699073 440426 408473 664893 376245 163564 561536 268819 838272 > 8⁶¹ [i]