Best Known (25−22, 25, s)-Nets in Base 49
(25−22, 25, 53)-Net over F49 — Constructive and digital
Digital (3, 25, 53)-net over F49, using
- net from sequence [i] based on digital (3, 52)-sequence over F49, using
(25−22, 25, 92)-Net over F49 — Digital
Digital (3, 25, 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
(25−22, 25, 704)-Net in Base 49 — Upper bound on s
There is no (3, 25, 705)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 1 810602 208085 785953 153692 553566 522351 807761 > 4925 [i]