Best Known (200−62, 200, s)-Nets in Base 3
(200−62, 200, 192)-Net over F3 — Constructive and digital
Digital (138, 200, 192)-net over F3, using
- 1 times m-reduction [i] based on digital (138, 201, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 67, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- trace code for nets [i] based on digital (4, 67, 64)-net over F27, using
(200−62, 200, 400)-Net over F3 — Digital
Digital (138, 200, 400)-net over F3, using
(200−62, 200, 7403)-Net in Base 3 — Upper bound on s
There is no (138, 200, 7404)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 266451 619030 578635 279163 846222 943482 047222 273743 765035 901439 446810 073538 965763 350444 199914 380945 > 3200 [i]