MinT - Best Known (200−40, 200, s)-Nets in Base 4

Best Known (200−40, 200, s)-Nets in Base 4

(200−40, 200, 1068)-Net over F₄ — Constructive and digital

Digital (160, 200, 1068)-net over F₄, using

trace code for nets [i] based on digital (10, 50, 267)-net over F₂₅₆, using
- net from sequence [i] based on digital (10, 266)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(200−40, 200, 6297)-Net over F₄ — Digital

Digital (160, 200, 6297)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(200−40, 200, 2902568)-Net in Base 4 — Upper bound on s

There is no (160, 200, 2902569)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 2 582259 642317 696884 970733 007444 207108 669192 296536 296755 176964 926283 941392 429564 735125 426757 770613 909917 630941 476707 196084 > 4²⁰⁰ [i]