Best Known (86−66, 86, s)-Nets in Base 25
(86−66, 86, 148)-Net over F25 — Constructive and digital
Digital (20, 86, 148)-net over F25, using
- t-expansion [i] based on digital (19, 86, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(86−66, 86, 171)-Net over F25 — Digital
Digital (20, 86, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(86−66, 86, 2393)-Net in Base 25 — Upper bound on s
There is no (20, 86, 2394)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 670529 744162 363066 681744 416869 581804 438488 463496 100173 621844 038783 904327 267465 473645 144576 747415 780468 627199 330995 620465 > 2586 [i]