Best Known (202, 202+58, s)-Nets in Base 2
(202, 202+58, 260)-Net over F2 — Constructive and digital
Digital (202, 260, 260)-net over F2, using
- t-expansion [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
(202, 202+58, 473)-Net over F2 — Digital
Digital (202, 260, 473)-net over F2, using
(202, 202+58, 5791)-Net in Base 2 — Upper bound on s
There is no (202, 260, 5792)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 854958 432109 858844 381041 721919 816006 563019 311500 547943 281192 686304 055702 590279 > 2260 [i]