Best Known (228−68, 228, s)-Nets in Base 3
(228−68, 228, 252)-Net over F3 — Constructive and digital
Digital (160, 228, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 76, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(228−68, 228, 506)-Net over F3 — Digital
Digital (160, 228, 506)-net over F3, using
(228−68, 228, 10680)-Net in Base 3 — Upper bound on s
There is no (160, 228, 10681)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6 079109 407002 375008 939757 129698 962924 278728 943609 579671 349204 826056 396539 109928 035817 648522 298158 833427 189305 > 3228 [i]