Best Known (78, 204, s)-Nets in Base 2
(78, 204, 50)-Net over F2 — Constructive and digital
Digital (78, 204, 50)-net over F2, using
- t-expansion [i] based on digital (75, 204, 50)-net over F2, using
- net from sequence [i] based on digital (75, 49)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (75, 49)-sequence over F2, using
(78, 204, 52)-Net over F2 — Digital
Digital (78, 204, 52)-net over F2, using
- t-expansion [i] based on digital (77, 204, 52)-net over F2, using
- net from sequence [i] based on digital (77, 51)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 77 and N(F) ≥ 52, using
- net from sequence [i] based on digital (77, 51)-sequence over F2, using
(78, 204, 149)-Net in Base 2 — Upper bound on s
There is no (78, 204, 150)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 27 017160 013383 854502 194395 753606 706108 375036 685007 900432 116864 > 2204 [i]