Best Known (52−39, 52, s)-Nets in Base 7
(52−39, 52, 21)-Net over F7 — Constructive and digital
Digital (13, 52, 21)-net over F7, using
- net from sequence [i] based on digital (13, 20)-sequence over F7, using
(52−39, 52, 48)-Net over F7 — Digital
Digital (13, 52, 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
(52−39, 52, 233)-Net in Base 7 — Upper bound on s
There is no (13, 52, 234)-net in base 7, because
- 1 times m-reduction [i] would yield (13, 51, 234)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 13 387222 537375 295884 954796 376109 966932 517225 > 751 [i]