Best Known (13, 73, s)-Nets in Base 81
(13, 73, 224)-Net over F81 — Constructive and digital
Digital (13, 73, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
(13, 73, 298)-Net over F81 — Digital
Digital (13, 73, 298)-net over F81, using
- t-expansion [i] based on digital (12, 73, 298)-net over F81, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 12 and N(F) ≥ 298, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
(13, 73, 6617)-Net in Base 81 — Upper bound on s
There is no (13, 73, 6618)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 20 896868 018157 229625 488815 103369 925511 311125 492028 589175 367154 198166 329013 526044 208206 856428 948216 080858 740796 665270 485664 036497 070914 347201 > 8173 [i]