Best Known (100−82, 100, s)-Nets in Base 7
(100−82, 100, 26)-Net over F7 — Constructive and digital
Digital (18, 100, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(100−82, 100, 51)-Net over F7 — Digital
Digital (18, 100, 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
(100−82, 100, 283)-Net in Base 7 — Upper bound on s
There is no (18, 100, 284)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 3 408017 683281 273721 746259 256470 695436 729951 361207 327590 685663 685420 243805 348842 210985 > 7100 [i]