Best Known (141−58, 141, s)-Nets in Base 5
(141−58, 141, 252)-Net over F5 — Constructive and digital
Digital (83, 141, 252)-net over F5, using
- 5 times m-reduction [i] based on digital (83, 146, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 73, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- trace code for nets [i] based on digital (10, 73, 126)-net over F25, using
(141−58, 141, 275)-Net over F5 — Digital
Digital (83, 141, 275)-net over F5, using
(141−58, 141, 7281)-Net in Base 5 — Upper bound on s
There is no (83, 141, 7282)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 359 030723 151959 888330 351851 635903 599233 532961 154988 686009 895576 490202 868805 360209 111182 360671 741385 > 5141 [i]