Best Known (201, 201+56, s)-Nets in Base 2
(201, 201+56, 260)-Net over F2 — Constructive and digital
Digital (201, 257, 260)-net over F2, using
- 3 times m-reduction [i] based on digital (201, 260, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 65, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 65, 65)-net over F16, using
(201, 201+56, 499)-Net over F2 — Digital
Digital (201, 257, 499)-net over F2, using
(201, 201+56, 6505)-Net in Base 2 — Upper bound on s
There is no (201, 257, 6506)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 232140 287833 898911 020051 301181 419307 519280 280166 651164 757381 104168 954774 130136 > 2257 [i]