Best Known (13, 13+76, s)-Nets in Base 27
(13, 13+76, 96)-Net over F27 — Constructive and digital
Digital (13, 89, 96)-net over F27, using
- t-expansion [i] based on digital (11, 89, 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
(13, 13+76, 136)-Net over F27 — Digital
Digital (13, 89, 136)-net over F27, using
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 13 and N(F) ≥ 136, using
(13, 13+76, 1280)-Net in Base 27 — Upper bound on s
There is no (13, 89, 1281)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 24 641020 721734 783387 543238 084287 054656 619021 628266 695833 487162 182784 577577 849681 436934 284563 172708 705692 627230 283290 498100 189897 > 2789 [i]