Best Known (60−52, 60, s)-Nets in Base 81
(60−52, 60, 172)-Net over F81 — Constructive and digital
Digital (8, 60, 172)-net over F81, using
- t-expansion [i] based on digital (7, 60, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(60−52, 60, 226)-Net over F81 — Digital
Digital (8, 60, 226)-net over F81, using
- net from sequence [i] based on digital (8, 225)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 8 and N(F) ≥ 226, using
(60−52, 60, 3332)-Net in Base 81 — Upper bound on s
There is no (8, 60, 3333)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3 249165 970206 094069 647609 973179 313187 693955 176724 603297 040170 048309 796397 136370 623202 962322 553897 441568 759149 812641 > 8160 [i]