Best Known (100−67, 100, s)-Nets in Base 7
(100−67, 100, 35)-Net over F7 — Constructive and digital
Digital (33, 100, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(100−67, 100, 96)-Net over F7 — Digital
Digital (33, 100, 96)-net over F7, using
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96, using
(100−67, 100, 731)-Net in Base 7 — Upper bound on s
There is no (33, 100, 732)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 99, 732)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 479029 169115 463047 605591 811123 772576 527282 927882 143583 409766 840312 532501 713077 631785 > 799 [i]