Best Known (37, 37+64, s)-Nets in Base 25
(37, 37+64, 208)-Net over F25 — Constructive and digital
Digital (37, 101, 208)-net over F25, using
- t-expansion [i] based on digital (35, 101, 208)-net over F25, using
- net from sequence [i] based on digital (35, 207)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 35 and N(F) ≥ 208, using
- net from sequence [i] based on digital (35, 207)-sequence over F25, using
(37, 37+64, 13752)-Net in Base 25 — Upper bound on s
There is no (37, 101, 13753)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1557 045002 964835 843409 677656 302832 120820 252262 178082 123501 508809 272803 119812 823155 058077 750145 647702 357402 075816 814332 106543 868228 033085 306625 > 25101 [i]