Best Known (22, 95, s)-Nets in Base 16
(22, 95, 65)-Net over F16 — Constructive and digital
Digital (22, 95, 65)-net over F16, using
- t-expansion [i] based on digital (6, 95, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(22, 95, 129)-Net over F16 — Digital
Digital (22, 95, 129)-net over F16, using
- t-expansion [i] based on digital (19, 95, 129)-net over F16, using
- net from sequence [i] based on digital (19, 128)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 19 and N(F) ≥ 129, using
- net from sequence [i] based on digital (19, 128)-sequence over F16, using
(22, 95, 1306)-Net in Base 16 — Upper bound on s
There is no (22, 95, 1307)-net in base 16, because
- 1 times m-reduction [i] would yield (22, 94, 1307)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 154900 180215 292427 968097 989379 642086 894604 278805 387029 433729 173128 459668 139655 092713 688731 808077 779218 626519 636656 > 1694 [i]