Best Known (91, 123, s)-Nets in Base 3
(91, 123, 264)-Net over F3 — Constructive and digital
Digital (91, 123, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 41, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
(91, 123, 499)-Net over F3 — Digital
Digital (91, 123, 499)-net over F3, using
(91, 123, 15810)-Net in Base 3 — Upper bound on s
There is no (91, 123, 15811)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 48530 599954 896355 325581 583286 386829 378588 340576 691471 183073 > 3123 [i]