Best Known (16, 16+20, s)-Nets in Base 25
(16, 16+20, 126)-Net over F25 — Constructive and digital
Digital (16, 36, 126)-net over F25, using
- t-expansion [i] based on digital (10, 36, 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
(16, 16+20, 157)-Net over F25 — Digital
Digital (16, 36, 157)-net over F25, using
(16, 16+20, 20334)-Net in Base 25 — Upper bound on s
There is no (16, 36, 20335)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 211 758578 593030 122316 592328 810374 182536 689476 080145 > 2536 [i]