MinT - Best Known (154, 154+46, s)-Nets in Base 4

Best Known (154, 154+46, s)-Nets in Base 4

(154, 154+46, 1044)-Net over F₄ — Constructive and digital

Digital (154, 200, 1044)-net over F₄, using

trace code for nets [i] based on digital (4, 50, 261)-net over F₂₅₆, using
- net from sequence [i] based on digital (4, 260)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(154, 154+46, 2808)-Net over F₄ — Digital

Digital (154, 200, 2808)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(154, 154+46, 540286)-Net in Base 4 — Upper bound on s

There is no (154, 200, 540287)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 2 582280 648147 725724 454492 320542 055553 786777 202973 926030 017635 418560 794826 752512 939854 257498 895317 789345 546029 842752 753308 > 4²⁰⁰ [i]