MinT - Best Known (176−42, 176, s)-Nets in Base 4

Best Known (176−42, 176, s)-Nets in Base 4

(176−42, 176, 1036)-Net over F₄ — Constructive and digital

Digital (134, 176, 1036)-net over F₄, using

trace code for nets [i] based on digital (2, 44, 259)-net over F₂₅₆, using
- net from sequence [i] based on digital (2, 258)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(176−42, 176, 2087)-Net over F₄ — Digital

Digital (134, 176, 2087)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(176−42, 176, 321502)-Net in Base 4 — Upper bound on s

There is no (134, 176, 321503)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 9174 243957 376438 478766 236405 196145 624801 534222 984212 478570 992424 599439 766031 902010 743065 317051 668424 987790 > 4¹⁷⁶ [i]