Best Known (70−46, 70, s)-Nets in Base 25
(70−46, 70, 148)-Net over F25 — Constructive and digital
Digital (24, 70, 148)-net over F25, using
- t-expansion [i] based on digital (19, 70, 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
(70−46, 70, 184)-Net over F25 — Digital
Digital (24, 70, 184)-net over F25, using
- net from sequence [i] based on digital (24, 183)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 24 and N(F) ≥ 184, using
(70−46, 70, 7048)-Net in Base 25 — Upper bound on s
There is no (24, 70, 7049)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 71 816038 746032 699413 786529 574836 702589 323181 528338 913242 449915 620889 911333 457210 270451 258532 276649 > 2570 [i]