Best Known (106−36, 106, s)-Nets in Base 5
(106−36, 106, 252)-Net over F5 — Constructive and digital
Digital (70, 106, 252)-net over F5, using
- 14 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
(106−36, 106, 466)-Net over F5 — Digital
Digital (70, 106, 466)-net over F5, using
(106−36, 106, 24660)-Net in Base 5 — Upper bound on s
There is no (70, 106, 24661)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 123 324716 071679 389926 682662 723336 168564 156030 528970 956949 694880 411534 904025 > 5106 [i]