Best Known (55−39, 55, s)-Nets in Base 49
(55−39, 55, 66)-Net over F49 — Constructive and digital
Digital (16, 55, 66)-net over F49, using
- net from sequence [i] based on digital (16, 65)-sequence over F49, using
(55−39, 55, 92)-Net over F49 — Digital
Digital (16, 55, 92)-net over F49, using
- t-expansion [i] based on digital (3, 55, 92)-net over F49, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
(55−39, 55, 10502)-Net in Base 49 — Upper bound on s
There is no (16, 55, 10503)-net in base 49, because
- 1 times m-reduction [i] would yield (16, 54, 10503)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 18 656058 748640 623742 447231 443253 462569 591684 188601 918997 051081 177404 139617 836520 160226 229489 > 4954 [i]