Best Known (63−34, 63, s)-Nets in Base 25
(63−34, 63, 200)-Net over F25 — Constructive and digital
Digital (29, 63, 200)-net over F25, using
- t-expansion [i] based on digital (25, 63, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
(63−34, 63, 259)-Net over F25 — Digital
Digital (29, 63, 259)-net over F25, using
(63−34, 63, 45316)-Net in Base 25 — Upper bound on s
There is no (29, 63, 45317)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 11759 279863 663400 166976 253101 338457 294799 567065 936917 024654 098159 243157 833408 324506 476025 > 2563 [i]