Best Known (147, 207, s)-Nets in Base 3
(147, 207, 264)-Net over F3 — Constructive and digital
Digital (147, 207, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 69, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
(147, 207, 511)-Net over F3 — Digital
Digital (147, 207, 511)-net over F3, using
(147, 207, 11770)-Net in Base 3 — Upper bound on s
There is no (147, 207, 11771)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 581 056133 795438 971604 135750 692184 026776 894218 885628 083390 681761 352070 734810 855344 928783 611409 570013 > 3207 [i]