Best Known (63−52, 63, s)-Nets in Base 27
(63−52, 63, 96)-Net over F27 — Constructive and digital
Digital (11, 63, 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
(63−52, 63, 100)-Net over F27 — Digital
Digital (11, 63, 100)-net over F27, using
- net from sequence [i] based on digital (11, 99)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 100, using
(63−52, 63, 1179)-Net in Base 27 — Upper bound on s
There is no (11, 63, 1180)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 1 516163 020984 087181 622795 783738 897349 692988 090319 214528 072472 289201 908303 550899 691692 962249 > 2763 [i]