Best Known (13, 35, s)-Nets in Base 25
(13, 35, 126)-Net over F25 — Constructive and digital
Digital (13, 35, 126)-net over F25, using
- t-expansion [i] based on digital (10, 35, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(13, 35, 5732)-Net in Base 25 — Upper bound on s
There is no (13, 35, 5733)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 8 470604 953689 027576 396131 976530 619046 116029 324905 > 2535 [i]