Best Known (73−58, 73, s)-Nets in Base 81
(73−58, 73, 224)-Net over F81 — Constructive and digital
Digital (15, 73, 224)-net over F81, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(73−58, 73, 298)-Net over F81 — Digital
Digital (15, 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
(73−58, 73, 9278)-Net in Base 81 — Upper bound on s
There is no (15, 73, 9279)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 20 896733 485534 943239 754698 245947 108705 954333 093721 043980 072178 500726 016196 685011 510360 540898 666412 412780 513074 696455 942861 248202 489453 591281 > 8173 [i]