MinT - Best Known (58, 102, s)-Nets in Base 7

Best Known (58, 102, s)-Nets in Base 7

(58, 102, 114)-Net over F₇ — Constructive and digital

Digital (58, 102, 114)-net over F₇, using

trace code for nets [i] based on digital (7, 51, 57)-net over F₄₉, using
- net from sequence [i] based on digital (7, 56)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(58, 102, 276)-Net over F₇ — Digital

Digital (58, 102, 276)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(58, 102, 12485)-Net in Base 7 — Upper bound on s

There is no (58, 102, 12486)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 158 746668 275725 881142 403999 907949 360742 885384 816619 390972 234358 891768 085596 044482 391781 > 7¹⁰² [i]