Best Known (98, 98+64, s)-Nets in Base 3
(98, 98+64, 148)-Net over F3 — Constructive and digital
Digital (98, 162, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 81, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(98, 98+64, 162)-Net over F3 — Digital
Digital (98, 162, 162)-net over F3, using
(98, 98+64, 1633)-Net in Base 3 — Upper bound on s
There is no (98, 162, 1634)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 199600 082835 353115 109808 145701 770303 474241 552690 560473 584649 724072 953883 828545 > 3162 [i]