Best Known (24, 91, s)-Nets in Base 5
(24, 91, 51)-Net over F5 — Constructive and digital
Digital (24, 91, 51)-net over F5, using
- t-expansion [i] based on digital (22, 91, 51)-net over F5, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
(24, 91, 55)-Net over F5 — Digital
Digital (24, 91, 55)-net over F5, using
- t-expansion [i] based on digital (23, 91, 55)-net over F5, using
- net from sequence [i] based on digital (23, 54)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 23 and N(F) ≥ 55, using
- net from sequence [i] based on digital (23, 54)-sequence over F5, using
(24, 91, 241)-Net in Base 5 — Upper bound on s
There is no (24, 91, 242)-net in base 5, because
- 1 times m-reduction [i] would yield (24, 90, 242)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 837 435874 256570 840513 704582 143929 346972 835095 417303 556915 404745 > 590 [i]