MinT - Best Known (48, 48+46, s)-Nets in Base 7

Best Known (48, 48+46, s)-Nets in Base 7

(48, 48+46, 102)-Net over F₇ — Constructive and digital

Digital (48, 94, 102)-net over F₇, using

trace code for nets [i] based on digital (1, 47, 51)-net over F₄₉, using
- net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(48, 48+46, 156)-Net over F₇ — Digital

Digital (48, 94, 156)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(48, 48+46, 4453)-Net in Base 7 — Upper bound on s

There is no (48, 94, 4454)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 27 505174 275038 951548 209625 735370 582466 332180 234583 125196 676780 807375 794643 121473 > 7⁹⁴ [i]