Best Known (82, 116, s)-Nets in Base 5
(82, 116, 296)-Net over F5 — Constructive and digital
Digital (82, 116, 296)-net over F5, using
- 10 times m-reduction [i] based on digital (82, 126, 296)-net over F5, using
- trace code for nets [i] based on digital (19, 63, 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
- trace code for nets [i] based on digital (19, 63, 148)-net over F25, using
(82, 116, 959)-Net over F5 — Digital
Digital (82, 116, 959)-net over F5, using
(82, 116, 105506)-Net in Base 5 — Upper bound on s
There is no (82, 116, 105507)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1203 899206 948737 896208 293691 816741 224848 494883 869211 588863 809672 677126 921926 274125 > 5116 [i]