Best Known (98−27, 98, s)-Nets in Base 2
(98−27, 98, 84)-Net over F2 — Constructive and digital
Digital (71, 98, 84)-net over F2, using
- 1 times m-reduction [i] based on digital (71, 99, 84)-net over F2, using
- trace code for nets [i] based on digital (5, 33, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- trace code for nets [i] based on digital (5, 33, 28)-net over F8, using
(98−27, 98, 125)-Net over F2 — Digital
Digital (71, 98, 125)-net over F2, using
(98−27, 98, 980)-Net in Base 2 — Upper bound on s
There is no (71, 98, 981)-net in base 2, because
- 1 times m-reduction [i] would yield (71, 97, 981)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 160253 941102 724255 228578 507604 > 297 [i]