Best Known (77−51, 77, s)-Nets in Base 25
(77−51, 77, 200)-Net over F25 — Constructive and digital
Digital (26, 77, 200)-net over F25, using
- t-expansion [i] based on digital (25, 77, 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
(77−51, 77, 7523)-Net in Base 25 — Upper bound on s
There is no (26, 77, 7524)-net in base 25, because
- 1 times m-reduction [i] would yield (26, 76, 7524)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 17565 107535 674542 254607 777616 263588 376341 028293 411045 223267 782432 718573 296448 084890 990640 429512 744349 257825 > 2576 [i]