Best Known (122−42, 122, s)-Nets in Base 5
(122−42, 122, 296)-Net over F5 — Constructive and digital
Digital (80, 122, 296)-net over F5, using
- trace code for nets [i] based on digital (19, 61, 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
(122−42, 122, 488)-Net over F5 — Digital
Digital (80, 122, 488)-net over F5, using
(122−42, 122, 24937)-Net in Base 5 — Upper bound on s
There is no (80, 122, 24938)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 18 818462 962106 396401 157553 024544 890369 315927 746711 385602 713491 922028 071041 464359 964585 > 5122 [i]