Best Known (248−56, 248, s)-Nets in Base 2
(248−56, 248, 260)-Net over F2 — Constructive and digital
Digital (192, 248, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 62, 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
(248−56, 248, 440)-Net over F2 — Digital
Digital (192, 248, 440)-net over F2, using
(248−56, 248, 5197)-Net in Base 2 — Upper bound on s
There is no (192, 248, 5198)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 452 508910 083572 450828 255224 358212 483996 201335 575984 669646 503225 448516 012132 > 2248 [i]