MinT - Best Known (26, 46, s)-Nets in Base 8

Best Known (26, 46, s)-Nets in Base 8

(26, 46, 208)-Net over F₈ — Constructive and digital

Digital (26, 46, 208)-net over F₈, using

trace code for nets [i] based on digital (3, 23, 104)-net over F₆₄, using
- net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
    - a function field by SÃ©mirat [i]

(26, 46, 226)-Net over F₈ — Digital

Digital (26, 46, 226)-net over F₈, using

trace code for nets [i] based on digital (3, 23, 113)-net over F₆₄, using
- net from sequence [i] based on digital (3, 112)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 113, using
    - a curve from the manYPoints database [i]

(26, 46, 9221)-Net in Base 8 — Upper bound on s

There is no (26, 46, 9222)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 348545 134405 717429 426251 280194 136963 535616 > 8⁴⁶ [i]