Best Known (69−50, 69, s)-Nets in Base 7
(69−50, 69, 27)-Net over F7 — Constructive and digital
Digital (19, 69, 27)-net over F7, using
- net from sequence [i] based on digital (19, 26)-sequence over F7, using
(69−50, 69, 54)-Net over F7 — Digital
Digital (19, 69, 54)-net over F7, using
- net from sequence [i] based on digital (19, 53)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 19 and N(F) ≥ 54, using
(69−50, 69, 348)-Net in Base 7 — Upper bound on s
There is no (19, 69, 349)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 20829 025637 756880 761855 972380 873895 675871 496481 463934 319215 > 769 [i]