Best Known (34, 62, s)-Nets in Base 7
(34, 62, 106)-Net over F7 — Constructive and digital
Digital (34, 62, 106)-net over F7, using
- trace code for nets [i] based on digital (3, 31, 53)-net over F49, using
- net from sequence [i] based on digital (3, 52)-sequence over F49, using
(34, 62, 184)-Net over F7 — Digital
Digital (34, 62, 184)-net over F7, using
- trace code for nets [i] based on digital (3, 31, 92)-net over F49, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
(34, 62, 5561)-Net in Base 7 — Upper bound on s
There is no (34, 62, 5562)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 24922 202235 206363 693119 709671 939890 683057 770567 199149 > 762 [i]