Best Known (148, 148+84, s)-Nets in Base 3
(148, 148+84, 162)-Net over F3 — Constructive and digital
Digital (148, 232, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 116, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
(148, 148+84, 283)-Net over F3 — Digital
Digital (148, 232, 283)-net over F3, using
(148, 148+84, 3525)-Net in Base 3 — Upper bound on s
There is no (148, 232, 3526)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 494 134099 080879 999968 032972 599019 983845 179892 234415 136837 862611 154342 034464 484686 311921 835270 195324 519026 936765 > 3232 [i]