MinT - Best Known (48, 48+26, s)-Nets in Base 7

Best Known (48, 48+26, s)-Nets in Base 7

(48, 48+26, 122)-Net over F₇ — Constructive and digital

Digital (48, 74, 122)-net over F₇, using

trace code for nets [i] based on digital (11, 37, 61)-net over F₄₉, using
- net from sequence [i] based on digital (11, 60)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(48, 48+26, 551)-Net over F₇ — Digital

Digital (48, 74, 551)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(48, 48+26, 61059)-Net in Base 7 — Upper bound on s

There is no (48, 74, 61060)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 344 571515 942890 121714 862977 660584 315603 441212 107638 990861 724473 > 7⁷⁴ [i]