Best Known (13, 29, s)-Nets in Base 7
(13, 29, 24)-Net over F7 — Constructive and digital
Digital (13, 29, 24)-net over F7, using
- (u, u+v)-construction [i] based on
- digital (1, 9, 13)-net over F7, using
- 4 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- digital (4, 20, 12)-net over F7, using
- net from sequence [i] based on digital (4, 11)-sequence over F7, using
- Niederreiter sequence (Bratley–Fox–Niederreiter implementation) with equidistant coordinate [i]
- digital (1, 9, 13)-net over F7, using
(13, 29, 48)-Net over F7 — Digital
Digital (13, 29, 48)-net over F7, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48, using
(13, 29, 721)-Net in Base 7 — Upper bound on s
There is no (13, 29, 722)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 3 244256 844616 422911 379985 > 729 [i]