Best Known (142, 240, s)-Nets in Base 3
(142, 240, 156)-Net over F3 — Constructive and digital
Digital (142, 240, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 120, 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
(142, 240, 207)-Net over F3 — Digital
Digital (142, 240, 207)-net over F3, using
(142, 240, 2027)-Net in Base 3 — Upper bound on s
There is no (142, 240, 2028)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3 242245 223268 411687 233818 172022 223277 989497 672249 058602 071400 681095 281481 105583 493906 219691 939135 699588 303539 659225 > 3240 [i]