Best Known (243−70, 243, s)-Nets in Base 2
(243−70, 243, 144)-Net over F2 — Constructive and digital
Digital (173, 243, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 81, 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
(243−70, 243, 232)-Net over F2 — Digital
Digital (173, 243, 232)-net over F2, using
(243−70, 243, 1659)-Net in Base 2 — Upper bound on s
There is no (173, 243, 1660)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 14 193008 462762 997570 556275 358268 640351 257491 089574 579043 065218 988247 945559 > 2243 [i]