Best Known (98, 98+34, s)-Nets in Base 2
(98, 98+34, 138)-Net over F2 — Constructive and digital
Digital (98, 132, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 44, 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
(98, 98+34, 186)-Net over F2 — Digital
Digital (98, 132, 186)-net over F2, using
(98, 98+34, 1536)-Net in Base 2 — Upper bound on s
There is no (98, 132, 1537)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 5503 731489 951781 698044 989827 038026 901824 > 2132 [i]