Best Known (100−73, 100, s)-Nets in Base 7
(100−73, 100, 32)-Net over F7 — Constructive and digital
Digital (27, 100, 32)-net over F7, using
- net from sequence [i] based on digital (27, 31)-sequence over F7, using
(100−73, 100, 78)-Net over F7 — Digital
Digital (27, 100, 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
(100−73, 100, 478)-Net in Base 7 — Upper bound on s
There is no (27, 100, 479)-net in base 7, because
- 1 times m-reduction [i] would yield (27, 99, 479)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 471075 416601 880205 740711 148488 616788 095294 477276 081930 729874 183341 286658 774292 564265 > 799 [i]