Best Known (64−52, 64, s)-Nets in Base 27
(64−52, 64, 96)-Net over F27 — Constructive and digital
Digital (12, 64, 96)-net over F27, using
- t-expansion [i] based on digital (11, 64, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(64−52, 64, 109)-Net over F27 — Digital
Digital (12, 64, 109)-net over F27, using
- net from sequence [i] based on digital (12, 108)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 12 and N(F) ≥ 109, using
(64−52, 64, 1340)-Net in Base 27 — Upper bound on s
There is no (12, 64, 1341)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 40 708937 703671 431611 850493 770596 740760 300164 740292 954487 552490 448712 632745 740934 268123 726065 > 2764 [i]