Best Known (7, 7+42, s)-Nets in Base 25
(7, 7+42, 66)-Net over F25 — Constructive and digital
Digital (7, 49, 66)-net over F25, using
- t-expansion [i] based on digital (4, 49, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(7, 7+42, 650)-Net in Base 25 — Upper bound on s
There is no (7, 49, 651)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 324 951202 435008 725357 657250 402976 171259 708097 337173 434363 661607 021225 > 2549 [i]