Best Known (41−28, 41, s)-Nets in Base 49
(41−28, 41, 63)-Net over F49 — Constructive and digital
Digital (13, 41, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(41−28, 41, 92)-Net over F49 — Digital
Digital (13, 41, 92)-net over F49, using
- t-expansion [i] based on digital (3, 41, 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
(41−28, 41, 11215)-Net in Base 49 — Upper bound on s
There is no (13, 41, 11216)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 1987 838509 026021 852125 843440 088198 996115 024137 087725 326178 748083 321345 > 4941 [i]