Best Known (70, 116, s)-Nets in Base 5
(70, 116, 252)-Net over F5 — Constructive and digital
Digital (70, 116, 252)-net over F5, using
- 4 times m-reduction [i] based on digital (70, 120, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 60, 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, 60, 126)-net over F25, using
(70, 116, 266)-Net over F5 — Digital
Digital (70, 116, 266)-net over F5, using
(70, 116, 7883)-Net in Base 5 — Upper bound on s
There is no (70, 116, 7884)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1205 703641 765497 992309 511215 831412 072111 673001 492652 349947 308577 553073 647150 415025 > 5116 [i]