Best Known (80−51, 80, s)-Nets in Base 25
(80−51, 80, 200)-Net over F25 — Constructive and digital
Digital (29, 80, 200)-net over F25, using
- t-expansion [i] based on digital (25, 80, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
(80−51, 80, 11076)-Net in Base 25 — Upper bound on s
There is no (29, 80, 11077)-net in base 25, because
- 1 times m-reduction [i] would yield (29, 79, 11077)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 274 133029 986104 122054 934565 591317 458137 558377 012041 684766 234348 078428 590298 466407 873405 019108 691610 365044 444857 > 2579 [i]