Best Known (201−87, 201, s)-Nets in Base 3
(201−87, 201, 128)-Net over F3 — Constructive and digital
Digital (114, 201, 128)-net over F3, using
- 1 times m-reduction [i] based on digital (114, 202, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 101, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- trace code for nets [i] based on digital (13, 101, 64)-net over F9, using
(201−87, 201, 151)-Net over F3 — Digital
Digital (114, 201, 151)-net over F3, using
(201−87, 201, 1356)-Net in Base 3 — Upper bound on s
There is no (114, 201, 1357)-net in base 3, because
- 1 times m-reduction [i] would yield (114, 200, 1357)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 270959 826305 904042 433126 759364 870410 926993 325126 122998 354570 618767 857057 125306 306954 541181 360491 > 3200 [i]