Best Known (15, 55, s)-Nets in Base 81
(15, 55, 224)-Net over F81 — Constructive and digital
Digital (15, 55, 224)-net over F81, using
- t-expansion [i] based on digital (13, 55, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(15, 55, 298)-Net over F81 — Digital
Digital (15, 55, 298)-net over F81, using
- t-expansion [i] based on digital (12, 55, 298)-net over F81, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 12 and N(F) ≥ 298, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
(15, 55, 18378)-Net in Base 81 — Upper bound on s
There is no (15, 55, 18379)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 926 229915 900554 233867 283581 297446 392769 988764 978672 888163 441914 892022 128237 673495 210962 075296 968758 366401 > 8155 [i]