Best Known (82, 82+32, s)-Nets in Base 5
(82, 82+32, 400)-Net over F5 — Constructive and digital
Digital (82, 114, 400)-net over F5, using
- trace code for nets [i] based on digital (25, 57, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
(82, 82+32, 1170)-Net over F5 — Digital
Digital (82, 114, 1170)-net over F5, using
(82, 82+32, 162408)-Net in Base 5 — Upper bound on s
There is no (82, 114, 162409)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 48 149717 610468 005056 746497 400279 696330 356593 009550 589497 055993 938578 510351 950785 > 5114 [i]