Best Known (244−54, 244, s)-Nets in Base 3
(244−54, 244, 688)-Net over F3 — Constructive and digital
Digital (190, 244, 688)-net over F3, using
- trace code for nets [i] based on digital (7, 61, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(244−54, 244, 1645)-Net over F3 — Digital
Digital (190, 244, 1645)-net over F3, using
(244−54, 244, 111953)-Net in Base 3 — Upper bound on s
There is no (190, 244, 111954)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 261 620444 971669 736713 930165 709720 798522 452248 384847 411661 914509 544228 839999 653769 441529 650072 928366 528272 681601 741473 > 3244 [i]