MinT - Best Known (156, 156+40, s)-Nets in Base 4

Best Known (156, 156+40, s)-Nets in Base 4

(156, 156+40, 1064)-Net over F₄ — Constructive and digital

Digital (156, 196, 1064)-net over F₄, using

trace code for nets [i] based on digital (9, 49, 266)-net over F₂₅₆, using
- net from sequence [i] based on digital (9, 265)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(156, 156+40, 5465)-Net over F₄ — Digital

Digital (156, 196, 5465)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(156, 156+40, 2199731)-Net in Base 4 — Upper bound on s

There is no (156, 196, 2199732)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 10086 947622 413124 815516 914633 932969 430554 278967 643625 785763 046493 506659 738643 524811 031178 807902 175614 460001 263923 768744 > 4¹⁹⁶ [i]