MinT - Best Known (46, 46+38, s)-Nets in Base 7

Best Known (46, 46+38, s)-Nets in Base 7

(46, 46+38, 108)-Net over F₇ — Constructive and digital

Digital (46, 84, 108)-net over F₇, using

trace code for nets [i] based on digital (4, 42, 54)-net over F₄₉, using
- net from sequence [i] based on digital (4, 53)-sequence over F₄₉, using
  - Niederreiter sequence [i]

(46, 46+38, 195)-Net over F₇ — Digital

Digital (46, 84, 195)-net over F₇, using

Gilbertâ€“VarÅ¡amov bound [i]

(46, 46+38, 7187)-Net in Base 7 — Upper bound on s

There is no (46, 84, 7188)-net in base 7, because

the generalized Rao bound for nets shows that 7^mÂ â‰¥ 97561 821690 706759 969086 719997 430295 159453 044125 572077 270953 119459 810017 > 7⁸⁴ [i]