Best Known (103, 103+36, s)-Nets in Base 2
(103, 103+36, 138)-Net over F2 — Constructive and digital
Digital (103, 139, 138)-net over F2, using
- 21 times duplication [i] based on digital (102, 138, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 46, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- trace code for nets [i] based on digital (10, 46, 46)-net over F8, using
(103, 103+36, 191)-Net over F2 — Digital
Digital (103, 139, 191)-net over F2, using
(103, 103+36, 1568)-Net in Base 2 — Upper bound on s
There is no (103, 139, 1569)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 699567 475881 342250 263099 731438 323800 361384 > 2139 [i]