Best Known (116−40, 116, s)-Nets in Base 5
(116−40, 116, 252)-Net over F5 — Constructive and digital
Digital (76, 116, 252)-net over F5, using
- 16 times m-reduction [i] based on digital (76, 132, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 66, 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, 66, 126)-net over F25, using
(116−40, 116, 466)-Net over F5 — Digital
Digital (76, 116, 466)-net over F5, using
(116−40, 116, 23496)-Net in Base 5 — Upper bound on s
There is no (76, 116, 23497)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1204 150480 622955 027770 030848 217123 985684 049370 594106 938820 620198 988234 711230 575921 > 5116 [i]