Best Known (81−42, 81, s)-Nets in Base 25
(81−42, 81, 208)-Net over F25 — Constructive and digital
Digital (39, 81, 208)-net over F25, using
- t-expansion [i] based on digital (35, 81, 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
(81−42, 81, 394)-Net over F25 — Digital
Digital (39, 81, 394)-net over F25, using
(81−42, 81, 89183)-Net in Base 25 — Upper bound on s
There is no (39, 81, 89184)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 171092 139866 080511 300789 736992 169041 593340 143712 603371 399992 571778 525605 666907 105392 469306 559484 241370 218727 830785 > 2581 [i]