Best Known (183, 254, s)-Nets in Base 2
(183, 254, 144)-Net over F2 — Constructive and digital
Digital (183, 254, 144)-net over F2, using
- 4 times m-reduction [i] based on digital (183, 258, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 86, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- trace code for nets [i] based on digital (11, 86, 48)-net over F8, using
(183, 254, 259)-Net over F2 — Digital
Digital (183, 254, 259)-net over F2, using
(183, 254, 2034)-Net in Base 2 — Upper bound on s
There is no (183, 254, 2035)-net in base 2, because
- 1 times m-reduction [i] would yield (183, 253, 2035)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 14614 515582 094494 072127 332597 424803 292337 122227 637022 592551 311221 427941 470654 > 2253 [i]