Best Known (139, 139+60, s)-Nets in Base 3
(139, 139+60, 228)-Net over F3 — Constructive and digital
Digital (139, 199, 228)-net over F3, using
- 31 times duplication [i] based on digital (138, 198, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 66, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- trace code for nets [i] based on digital (6, 66, 76)-net over F27, using
(139, 139+60, 434)-Net over F3 — Digital
Digital (139, 199, 434)-net over F3, using
(139, 139+60, 8774)-Net in Base 3 — Upper bound on s
There is no (139, 199, 8775)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 88780 935085 488771 690296 983941 520395 044731 232767 951549 101675 121571 847293 460143 335689 420842 499093 > 3199 [i]