Best Known (42, 42+34, s)-Nets in Base 5
(42, 42+34, 132)-Net over F5 — Constructive and digital
Digital (42, 76, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 38, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(42, 42+34, 2379)-Net in Base 5 — Upper bound on s
There is no (42, 76, 2380)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 132920 746892 016170 450894 192925 346548 444108 270414 533425 > 576 [i]