Best Known (201−74, 201, s)-Nets in Base 3
(201−74, 201, 156)-Net over F3 — Constructive and digital
Digital (127, 201, 156)-net over F3, using
- 9 times m-reduction [i] based on digital (127, 210, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 105, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- trace code for nets [i] based on digital (22, 105, 78)-net over F9, using
(201−74, 201, 238)-Net over F3 — Digital
Digital (127, 201, 238)-net over F3, using
(201−74, 201, 2826)-Net in Base 3 — Upper bound on s
There is no (127, 201, 2827)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 800729 986761 140044 169761 605627 892292 999321 831767 006205 528609 014915 347527 129419 020886 646375 675151 > 3201 [i]