Best Known (152, 214, s)-Nets in Base 3
(152, 214, 264)-Net over F3 — Constructive and digital
Digital (152, 214, 264)-net over F3, using
- 31 times duplication [i] based on digital (151, 213, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 71, 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
- trace code for nets [i] based on digital (9, 71, 88)-net over F27, using
(152, 214, 526)-Net over F3 — Digital
Digital (152, 214, 526)-net over F3, using
(152, 214, 12178)-Net in Base 3 — Upper bound on s
There is no (152, 214, 12179)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 272059 110062 965329 808917 133093 814933 440818 824254 009540 347803 261452 076801 376374 489624 955152 885939 276819 > 3214 [i]