MinT - Best Known (147, 184, s)-Nets in Base 4

Best Known (147, 184, s)-Nets in Base 4

(147, 184, 1064)-Net over F₄ — Constructive and digital

Digital (147, 184, 1064)-net over F₄, using

trace code for nets [i] based on digital (9, 46, 266)-net over F₂₅₆, using
- net from sequence [i] based on digital (9, 265)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(147, 184, 5704)-Net over F₄ — Digital

Digital (147, 184, 5704)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(147, 184, 3326213)-Net in Base 4 — Upper bound on s

There is no (147, 184, 3326214)-net in base 4, because

1 times m-reduction [i] would yield (147, 183, 3326214)-net in base 4, but
- the generalized Rao bound for nets shows that 4^mÂ â‰¥ 150 306932 456282 582323 172447 491167 662179 442786 115536 940960 252362 997854 612926 365955 405833 125457 503555 598102 523360 > 4¹⁸³ [i]