Best Known (30−24, 30, s)-Nets in Base 81
(30−24, 30, 160)-Net over F81 — Constructive and digital
Digital (6, 30, 160)-net over F81, using
- t-expansion [i] based on digital (5, 30, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
(30−24, 30, 190)-Net over F81 — Digital
Digital (6, 30, 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
(30−24, 30, 3898)-Net in Base 81 — Upper bound on s
There is no (6, 30, 3899)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 1801 880115 012991 756237 918903 386346 137988 772831 694604 063041 > 8130 [i]