Best Known (88, 88+54, s)-Nets in Base 3
(88, 88+54, 148)-Net over F3 — Constructive and digital
Digital (88, 142, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 71, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(88, 88+54, 161)-Net over F3 — Digital
Digital (88, 142, 161)-net over F3, using
(88, 88+54, 1738)-Net in Base 3 — Upper bound on s
There is no (88, 142, 1739)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 56 906280 709876 321932 771388 964869 239117 352374 365196 322656 624581 093147 > 3142 [i]