MinT - Best Known (148, 148+44, s)-Nets in Base 4

Best Known (148, 148+44, s)-Nets in Base 4

(148, 148+44, 1044)-Net over F₄ — Constructive and digital

Digital (148, 192, 1044)-net over F₄, using

trace code for nets [i] based on digital (4, 48, 261)-net over F₂₅₆, using
- net from sequence [i] based on digital (4, 260)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(148, 148+44, 2767)-Net over F₄ — Digital

Digital (148, 192, 2767)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(148, 148+44, 542074)-Net in Base 4 — Upper bound on s

There is no (148, 192, 542075)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 39 402307 384387 525352 639220 015487 683413 769716 968564 333145 147864 783910 178352 123192 313557 783769 682732 567168 384826 821786 > 4¹⁹² [i]