Best Known (97−52, 97, s)-Nets in Base 5
(97−52, 97, 78)-Net over F5 — Constructive and digital
Digital (45, 97, 78)-net over F5, using
- t-expansion [i] based on digital (38, 97, 78)-net over F5, using
- net from sequence [i] based on digital (38, 77)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- net from sequence [i] based on digital (38, 77)-sequence over F5, using
(97−52, 97, 88)-Net over F5 — Digital
Digital (45, 97, 88)-net over F5, using
- net from sequence [i] based on digital (45, 87)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 45 and N(F) ≥ 88, using
(97−52, 97, 1049)-Net in Base 5 — Upper bound on s
There is no (45, 97, 1050)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 63 108885 471539 966870 955145 793223 851501 737279 183898 755682 291329 427009 > 597 [i]