Best Known (201, 201+59, s)-Nets in Base 2
(201, 201+59, 260)-Net over F2 — Constructive and digital
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
(201, 201+59, 452)-Net over F2 — Digital
Digital (201, 260, 452)-net over F2, using
(201, 201+59, 5653)-Net in Base 2 — Upper bound on s
There is no (201, 260, 5654)-net in base 2, because
- 1 times m-reduction [i] would yield (201, 259, 5654)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 926561 676561 681657 323726 985662 515096 157749 702993 213984 428451 835714 036782 175936 > 2259 [i]