Best Known (99−81, 99, s)-Nets in Base 7
(99−81, 99, 26)-Net over F7 — Constructive and digital
Digital (18, 99, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(99−81, 99, 51)-Net over F7 — Digital
Digital (18, 99, 51)-net over F7, using
- net from sequence [i] based on digital (18, 50)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, using
(99−81, 99, 283)-Net in Base 7 — Upper bound on s
There is no (18, 99, 284)-net in base 7, because
- 1 times m-reduction [i] would yield (18, 98, 284)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 69192 073865 056878 887906 956469 060523 058226 921919 125739 133514 651525 325596 983242 402625 > 798 [i]