Best Known (201−49, 201, s)-Nets in Base 3
(201−49, 201, 400)-Net over F3 — Constructive and digital
Digital (152, 201, 400)-net over F3, using
- 31 times duplication [i] based on digital (151, 200, 400)-net over F3, using
- trace code for nets [i] based on digital (1, 50, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- trace code for nets [i] based on digital (1, 50, 100)-net over F81, using
(201−49, 201, 944)-Net over F3 — Digital
Digital (152, 201, 944)-net over F3, using
(201−49, 201, 46357)-Net in Base 3 — Upper bound on s
There is no (152, 201, 46358)-net in base 3, because
- 1 times m-reduction [i] would yield (152, 200, 46358)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 265636 691687 306945 308495 330282 293608 616926 877050 296528 112683 521161 738065 902521 991348 637557 359473 > 3200 [i]