Best Known (89, 155, s)-Nets in Base 3
(89, 155, 80)-Net over F3 — Constructive and digital
Digital (89, 155, 80)-net over F3, using
- 7 times m-reduction [i] based on digital (89, 162, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 81, 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
- trace code for nets [i] based on digital (8, 81, 40)-net over F9, using
(89, 155, 126)-Net over F3 — Digital
Digital (89, 155, 126)-net over F3, using
(89, 155, 1114)-Net in Base 3 — Upper bound on s
There is no (89, 155, 1115)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 91 709175 881321 983047 822354 436778 565559 430445 807887 355539 527374 813185 954167 > 3155 [i]