Best Known (94−67, 94, s)-Nets in Base 7
(94−67, 94, 32)-Net over F7 — Constructive and digital
Digital (27, 94, 32)-net over F7, using
- net from sequence [i] based on digital (27, 31)-sequence over F7, using
(94−67, 94, 78)-Net over F7 — Digital
Digital (27, 94, 78)-net over F7, using
- net from sequence [i] based on digital (27, 77)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 27 and N(F) ≥ 78, using
(94−67, 94, 507)-Net in Base 7 — Upper bound on s
There is no (27, 94, 508)-net in base 7, because
- 1 times m-reduction [i] would yield (27, 93, 508)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 4 172949 626506 671974 736961 646910 918842 452343 951549 780557 998574 776915 775888 068073 > 793 [i]