Best Known (6, 6+36, s)-Nets in Base 25
(6, 6+36, 66)-Net over F25 — Constructive and digital
Digital (6, 42, 66)-net over F25, using
- t-expansion [i] based on digital (4, 42, 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
(6, 6+36, 565)-Net in Base 25 — Upper bound on s
There is no (6, 42, 566)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 51809 252445 885992 687830 565289 365939 275446 621466 932604 528225 > 2542 [i]