Best Known (3, 3+12, s)-Nets in Base 7
(3, 3+12, 13)-Net over F7 — Constructive and digital
Digital (3, 15, 13)-net over F7, using
- 72 times duplication [i] based on digital (1, 13, 13)-net over F7, using
(3, 3+12, 20)-Net over F7 — Digital
Digital (3, 15, 20)-net over F7, using
- net from sequence [i] based on digital (3, 19)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 3 and N(F) ≥ 20, using
(3, 3+12, 61)-Net in Base 7 — Upper bound on s
There is no (3, 15, 62)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 5 086372 008277 > 715 [i]