MinT - Best Known (44−24, 44, s)-Nets in Base 7

Best Known (44−24, 44, s)-Nets in Base 7

(44−24, 44, 28)-Net over F₇ — Constructive and digital

Digital (20, 44, 28)-net over F₇, using

net from sequence [i] based on digital (20, 27)-sequence over F₇, using
- Niederreiter sequence [i]

(44−24, 44, 60)-Net over F₇ — Digital

Digital (20, 44, 60)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(44−24, 44, 1098)-Net in Base 7 — Upper bound on s

There is no (20, 44, 1099)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 15 304364 036880 189315 675795 029503 245529 > 7⁴⁴ [i]