MinT - Best Known (196−48, 196, s)-Nets in Base 4

Best Known (196−48, 196, s)-Nets in Base 4

(196−48, 196, 1032)-Net over F₄ — Constructive and digital

Digital (148, 196, 1032)-net over F₄, using

trace code for nets [i] based on digital (1, 49, 258)-net over F₂₅₆, using
- net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(196−48, 196, 2008)-Net over F₄ — Digital

Digital (148, 196, 2008)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(196−48, 196, 269794)-Net in Base 4 — Upper bound on s

There is no (148, 196, 269795)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 10087 214764 796057 427204 826365 822088 442304 856371 057556 307924 785544 357530 228814 686092 457676 235541 468081 439536 063319 800324 > 4¹⁹⁶ [i]