Best Known (76−64, 76, s)-Nets in Base 7
(76−64, 76, 20)-Net over F7 — Constructive and digital
Digital (12, 76, 20)-net over F7, using
- net from sequence [i] based on digital (12, 19)-sequence over F7, using
(76−64, 76, 38)-Net over F7 — Digital
Digital (12, 76, 38)-net over F7, using
- t-expansion [i] based on digital (9, 76, 38)-net over F7, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 9 and N(F) ≥ 38, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
(76−64, 76, 100)-Net in Base 7 — Upper bound on s
There is no (12, 76, 101)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(776, 101, S7, 64), but
- the linear programming bound shows that M ≥ 11515 632390 889926 559285 512299 366890 442399 034942 351065 920754 552773 159279 340720 461181 233009 / 650853 079871 744708 087337 > 776 [i]