MinT - Best Known (44, 44+42, s)-Nets in Base 7

Best Known (44, 44+42, s)-Nets in Base 7

(44, 44+42, 102)-Net over F₇ — Constructive and digital

Digital (44, 86, 102)-net over F₇, using

trace code for nets [i] based on digital (1, 43, 51)-net over F₄₉, using
- net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(44, 44+42, 147)-Net over F₇ — Digital

Digital (44, 86, 147)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(44, 44+42, 4166)-Net in Base 7 — Upper bound on s

There is no (44, 86, 4167)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 4 770833 895414 533840 382622 051922 738699 232290 355151 805669 994039 507074 441971 > 7⁸⁶ [i]