MinT - Best Known (103, 103+44, s)-Nets in Base 2

Best Known (103, 103+44, s)-Nets in Base 2

(103, 103+44, 84)-Net over F₂ — Constructive and digital

Digital (103, 147, 84)-net over F₂, using

trace code for nets [i] based on digital (5, 49, 28)-net over F₈, using
- net from sequence [i] based on digital (5, 27)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 5 and N(F) ≥ 28, using
    - a function field by SÃ©mirat [i]

(103, 103+44, 139)-Net over F₂ — Digital

Digital (103, 147, 139)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(103, 103+44, 897)-Net in Base 2 — Upper bound on s

There is no (103, 147, 898)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 180 208465 838330 127260 252267 415845 058523 043648 > 2¹⁴⁷ [i]