Best Known (105, 105+40, s)-Nets in Base 3
(105, 105+40, 252)-Net over F3 — Constructive and digital
Digital (105, 145, 252)-net over F3, using
- 31 times duplication [i] based on digital (104, 144, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 48, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- trace code for nets [i] based on digital (8, 48, 84)-net over F27, using
(105, 105+40, 452)-Net over F3 — Digital
Digital (105, 145, 452)-net over F3, using
(105, 105+40, 11931)-Net in Base 3 — Upper bound on s
There is no (105, 145, 11932)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1523 750794 598098 967924 615172 320199 776529 399362 445877 032139 948431 810177 > 3145 [i]