MinT - Best Known (140, 184, s)-Nets in Base 4

Best Known (140, 184, s)-Nets in Base 4

(140, 184, 1036)-Net over F₄ — Constructive and digital

Digital (140, 184, 1036)-net over F₄, using

trace code for nets [i] based on digital (2, 46, 259)-net over F₂₅₆, using
- net from sequence [i] based on digital (2, 258)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(140, 184, 2143)-Net over F₄ — Digital

Digital (140, 184, 2143)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(140, 184, 327430)-Net in Base 4 — Upper bound on s

There is no (140, 184, 327431)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 601 252428 754943 769677 612833 266968 909931 284415 836246 038874 236896 695224 958613 700849 482569 431554 641135 062910 468944 > 4¹⁸⁴ [i]