MinT - Best Known (120, 120+54, s)-Nets in Base 2

Best Known (120, 120+54, s)-Nets in Base 2

(120, 120+54, 112)-Net over F₂ — Constructive and digital

Digital (120, 174, 112)-net over F₂, using

trace code for nets [i] based on digital (33, 87, 56)-net over F₄, using
- net from sequence [i] based on digital (33, 55)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

(120, 120+54, 147)-Net over F₂ — Digital

Digital (120, 174, 147)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(120, 120+54, 912)-Net in Base 2 — Upper bound on s

There is no (120, 174, 913)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 24506 869251 752622 188201 163702 580758 363571 440463 954304 > 2¹⁷⁴ [i]