MinT - Best Known (58, 94, s)-Nets in Base 7

Best Known (58, 94, s)-Nets in Base 7

(58, 94, 122)-Net over F₇ — Constructive and digital

Digital (58, 94, 122)-net over F₇, using

trace code for nets [i] based on digital (11, 47, 61)-net over F₄₉, using
- net from sequence [i] based on digital (11, 60)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(58, 94, 444)-Net over F₇ — Digital

Digital (58, 94, 444)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(58, 94, 32592)-Net in Base 7 — Upper bound on s

There is no (58, 94, 32593)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 27 502803 818692 908362 335235 324451 108001 314987 449977 714553 668287 305706 538892 750929 > 7⁹⁴ [i]