Best Known (102, 102+48, s)-Nets in Base 5
(102, 102+48, 400)-Net over F5 — Constructive and digital
Digital (102, 150, 400)-net over F5, using
- t-expansion [i] based on digital (100, 150, 400)-net over F5, using
- trace code for nets [i] based on digital (25, 75, 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
- trace code for nets [i] based on digital (25, 75, 200)-net over F25, using
(102, 102+48, 797)-Net over F5 — Digital
Digital (102, 150, 797)-net over F5, using
(102, 102+48, 57244)-Net in Base 5 — Upper bound on s
There is no (102, 150, 57245)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 700 843558 807820 754303 652211 144285 974730 777873 077008 576955 418880 042842 486143 956502 985803 285449 147943 686305 > 5150 [i]