Best Known (80, 80+64, s)-Nets in Base 3
(80, 80+64, 80)-Net over F3 — Constructive and digital
Digital (80, 144, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 72, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(80, 80+64, 105)-Net over F3 — Digital
Digital (80, 144, 105)-net over F3, using
(80, 80+64, 866)-Net in Base 3 — Upper bound on s
There is no (80, 144, 867)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 522 831492 575980 653557 447435 709380 824113 777075 254461 478930 087135 749569 > 3144 [i]