Best Known (78−20, 78, s)-Nets in Base 5
(78−20, 78, 296)-Net over F5 — Constructive and digital
Digital (58, 78, 296)-net over F5, using
- trace code for nets [i] based on digital (19, 39, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(78−20, 78, 1477)-Net over F5 — Digital
Digital (58, 78, 1477)-net over F5, using
(78−20, 78, 320533)-Net in Base 5 — Upper bound on s
There is no (58, 78, 320534)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 3 308817 045540 041584 828721 258414 682597 009911 025709 854465 > 578 [i]