Best Known (21, 43, s)-Nets in Base 5
(21, 43, 43)-Net over F5 — Constructive and digital
Digital (21, 43, 43)-net over F5, using
- t-expansion [i] based on digital (18, 43, 43)-net over F5, using
- net from sequence [i] based on digital (18, 42)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 17, N(F) = 42, and 1 place with degree 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (18, 42)-sequence over F5, using
(21, 43, 53)-Net over F5 — Digital
Digital (21, 43, 53)-net over F5, using
(21, 43, 654)-Net in Base 5 — Upper bound on s
There is no (21, 43, 655)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1 137918 636869 217332 555923 000085 > 543 [i]