Best Known (202−76, 202, s)-Nets in Base 3
(202−76, 202, 156)-Net over F3 — Constructive and digital
Digital (126, 202, 156)-net over F3, using
- 6 times m-reduction [i] based on digital (126, 208, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 104, 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, 104, 78)-net over F9, using
(202−76, 202, 225)-Net over F3 — Digital
Digital (126, 202, 225)-net over F3, using
(202−76, 202, 2545)-Net in Base 3 — Upper bound on s
There is no (126, 202, 2546)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 416019 795234 456322 571012 162856 980220 189883 887594 548322 587110 476272 161590 231414 525558 303749 720605 > 3202 [i]