MinT - Best Known (52, 102, s)-Nets in Base 7

Best Known (52, 102, s)-Nets in Base 7

(52, 102, 102)-Net over F₇ — Constructive and digital

Digital (52, 102, 102)-net over F₇, using

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

(52, 102, 166)-Net over F₇ — Digital

Digital (52, 102, 166)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(52, 102, 4742)-Net in Base 7 — Upper bound on s

There is no (52, 102, 4743)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 158 989362 241976 063286 566258 125661 952131 785652 712734 516166 723372 221371 932655 807877 824411 > 7¹⁰² [i]