Best Known (82−62, 82, s)-Nets in Base 25
(82−62, 82, 148)-Net over F25 — Constructive and digital
Digital (20, 82, 148)-net over F25, using
- t-expansion [i] based on digital (19, 82, 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
(82−62, 82, 171)-Net over F25 — Digital
Digital (20, 82, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(82−62, 82, 2563)-Net in Base 25 — Upper bound on s
There is no (20, 82, 2564)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4 296729 212092 258608 024781 503464 598359 247261 724805 863470 843171 688882 776015 698034 724539 710421 732750 330868 520031 040033 > 2582 [i]