Best Known (191−42, 191, s)-Nets in Base 3
(191−42, 191, 640)-Net over F3 — Constructive and digital
Digital (149, 191, 640)-net over F3, using
- 1 times m-reduction [i] based on digital (149, 192, 640)-net over F3, using
- trace code for nets [i] based on digital (5, 48, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- trace code for nets [i] based on digital (5, 48, 160)-net over F81, using
(191−42, 191, 1368)-Net over F3 — Digital
Digital (149, 191, 1368)-net over F3, using
(191−42, 191, 94820)-Net in Base 3 — Upper bound on s
There is no (149, 191, 94821)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 13 497474 486031 453708 779757 647206 244245 269178 528115 877022 907999 276401 793874 029222 230259 645083 > 3191 [i]