Best Known (241−56, 241, s)-Nets in Base 3
(241−56, 241, 600)-Net over F3 — Constructive and digital
Digital (185, 241, 600)-net over F3, using
- 31 times duplication [i] based on digital (184, 240, 600)-net over F3, using
- trace code for nets [i] based on digital (4, 60, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- trace code for nets [i] based on digital (4, 60, 150)-net over F81, using
(241−56, 241, 1336)-Net over F3 — Digital
Digital (185, 241, 1336)-net over F3, using
(241−56, 241, 72187)-Net in Base 3 — Upper bound on s
There is no (185, 241, 72188)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 9 690588 454793 015248 688774 039304 662371 548032 528206 200816 081326 118638 228638 507534 710070 486194 866082 421639 107647 658177 > 3241 [i]