Best Known (97−58, 97, s)-Nets in Base 5
(97−58, 97, 78)-Net over F5 — Constructive and digital
Digital (39, 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
(97−58, 97, 614)-Net in Base 5 — Upper bound on s
There is no (39, 97, 615)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 65 080239 169276 881109 700557 788302 717811 011087 287047 715789 485901 483821 > 597 [i]