Best Known (21, 88, s)-Nets in Base 7
(21, 88, 29)-Net over F7 — Constructive and digital
Digital (21, 88, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(21, 88, 64)-Net over F7 — Digital
Digital (21, 88, 64)-net over F7, using
- net from sequence [i] based on digital (21, 63)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 21 and N(F) ≥ 64, using
(21, 88, 349)-Net in Base 7 — Upper bound on s
There is no (21, 88, 350)-net in base 7, because
- 1 times m-reduction [i] would yield (21, 87, 350)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 34 192476 296359 725483 382420 620009 866046 645549 090859 747984 262764 232210 985205 > 787 [i]