Best Known (69−46, 69, s)-Nets in Base 25
(69−46, 69, 148)-Net over F25 — Constructive and digital
Digital (23, 69, 148)-net over F25, using
- t-expansion [i] based on digital (19, 69, 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
(69−46, 69, 176)-Net over F25 — Digital
Digital (23, 69, 176)-net over F25, using
- net from sequence [i] based on digital (23, 175)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 23 and N(F) ≥ 176, using
(69−46, 69, 6126)-Net in Base 25 — Upper bound on s
There is no (23, 69, 6127)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 2 874307 080035 415565 274786 425992 088759 332605 946747 437158 126828 697283 355259 779693 901527 395289 953625 > 2569 [i]