Best Known (34, 58, s)-Nets in Base 27
(34, 58, 204)-Net over F27 — Constructive and digital
Digital (34, 58, 204)-net over F27, using
- 1 times m-reduction [i] based on digital (34, 59, 204)-net over F27, using
- generalized (u, u+v)-construction [i] based on
- digital (4, 12, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- digital (4, 16, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27 (see above)
- digital (6, 31, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- digital (4, 12, 64)-net over F27, using
- generalized (u, u+v)-construction [i] based on
(34, 58, 370)-Net in Base 27 — Constructive
(34, 58, 370)-net in base 27, using
- 14 times m-reduction [i] based on (34, 72, 370)-net in base 27, using
- base change [i] based on digital (16, 54, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- base change [i] based on digital (16, 54, 370)-net over F81, using
(34, 58, 1487)-Net over F27 — Digital
Digital (34, 58, 1487)-net over F27, using
(34, 58, 1685173)-Net in Base 27 — Upper bound on s
There is no (34, 58, 1685174)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 104495 754734 511650 706753 264056 296793 801928 484464 940776 568527 900493 962814 279182 163289 > 2758 [i]