Best Known (213−66, 213, s)-Nets in Base 3
(213−66, 213, 204)-Net over F3 — Constructive and digital
Digital (147, 213, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 71, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
(213−66, 213, 423)-Net over F3 — Digital
Digital (147, 213, 423)-net over F3, using
(213−66, 213, 7872)-Net in Base 3 — Upper bound on s
There is no (147, 213, 7873)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 423517 654260 013186 750717 142595 008776 444761 845105 453092 637591 804613 087578 270507 049172 320526 760483 735811 > 3213 [i]