Best Known (7, 55, s)-Nets in Base 81
(7, 55, 172)-Net over F81 — Constructive and digital
Digital (7, 55, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
(7, 55, 190)-Net over F81 — Digital
Digital (7, 55, 190)-net over F81, using
- t-expansion [i] based on digital (6, 55, 190)-net over F81, using
- net from sequence [i] based on digital (6, 189)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 6 and N(F) ≥ 190, using
- net from sequence [i] based on digital (6, 189)-sequence over F81, using
(7, 55, 2884)-Net in Base 81 — Upper bound on s
There is no (7, 55, 2885)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 927 821035 262644 296614 768286 498578 575951 334708 047028 326805 039512 603727 463351 454618 085401 967434 562166 051201 > 8155 [i]