Best Known (18, 18+68, s)-Nets in Base 7
(18, 18+68, 26)-Net over F7 — Constructive and digital
Digital (18, 86, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(18, 18+68, 51)-Net over F7 — Digital
Digital (18, 86, 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
(18, 18+68, 288)-Net in Base 7 — Upper bound on s
There is no (18, 86, 289)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 5 314085 788750 563824 647310 974293 426817 123409 499536 737209 365222 462633 743729 > 786 [i]