Best Known (88, 120, s)-Nets in Base 3
(88, 120, 252)-Net over F3 — Constructive and digital
Digital (88, 120, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 40, 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
(88, 120, 445)-Net over F3 — Digital
Digital (88, 120, 445)-net over F3, using
(88, 120, 12864)-Net in Base 3 — Upper bound on s
There is no (88, 120, 12865)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1797 958554 270644 513886 387138 624352 510051 825405 397287 135041 > 3120 [i]