Best Known (213−44, 213, s)-Nets in Base 2
(213−44, 213, 260)-Net over F2 — Constructive and digital
Digital (169, 213, 260)-net over F2, using
- t-expansion [i] based on digital (168, 213, 260)-net over F2, using
- 3 times m-reduction [i] based on digital (168, 216, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 54, 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, 54, 65)-net over F16, using
- 3 times m-reduction [i] based on digital (168, 216, 260)-net over F2, using
(213−44, 213, 496)-Net over F2 — Digital
Digital (169, 213, 496)-net over F2, using
(213−44, 213, 7404)-Net in Base 2 — Upper bound on s
There is no (169, 213, 7405)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 13199 086582 623535 071459 286953 953549 804647 689599 661850 508597 502416 > 2213 [i]