MinT - Best Known (104, 174, s)-Nets in Base 2

Best Known (104, 174, s)-Nets in Base 2

(104, 174, 66)-Net over F₂ — Constructive and digital

Digital (104, 174, 66)-net over F₂, using

4 times m-reduction [i] based on digital (104, 178, 66)-net over F₂, using
- trace code for nets [i] based on digital (15, 89, 33)-net over F₄, using
  - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]

(104, 174, 81)-Net over F₂ — Digital

Digital (104, 174, 81)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(104, 174, 386)-Net in Base 2 — Upper bound on s

There is no (104, 174, 387)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 23969 189423 289676 335822 594747 589748 892063 313586 601976 > 2¹⁷⁴ [i]