Best Known (171, 171+78, s)-Nets in Base 3
(171, 171+78, 204)-Net over F3 — Constructive and digital
Digital (171, 249, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 83, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
(171, 171+78, 468)-Net over F3 — Digital
Digital (171, 249, 468)-net over F3, using
(171, 171+78, 8524)-Net in Base 3 — Upper bound on s
There is no (171, 249, 8525)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 63656 523140 125416 773908 475077 965938 632048 670293 694911 177531 709659 313287 065567 815603 934066 234657 873604 194064 993847 796603 > 3249 [i]