Best Known (253−70, 253, s)-Nets in Base 2
(253−70, 253, 195)-Net over F2 — Constructive and digital
Digital (183, 253, 195)-net over F2, using
- 21 times duplication [i] based on digital (182, 252, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 84, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- trace code for nets [i] based on digital (14, 84, 65)-net over F8, using
(253−70, 253, 265)-Net over F2 — Digital
Digital (183, 253, 265)-net over F2, using
(253−70, 253, 2034)-Net in Base 2 — Upper bound on s
There is no (183, 253, 2035)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 14614 515582 094494 072127 332597 424803 292337 122227 637022 592551 311221 427941 470654 > 2253 [i]