Best Known (81, 151, s)-Nets in Base 4
(81, 151, 104)-Net over F4 — Constructive and digital
Digital (81, 151, 104)-net over F4, using
- t-expansion [i] based on digital (73, 151, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(81, 151, 143)-Net over F4 — Digital
Digital (81, 151, 143)-net over F4, using
(81, 151, 1806)-Net in Base 4 — Upper bound on s
There is no (81, 151, 1807)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 8 248664 317340 836442 644461 999233 402915 872104 909020 506018 625342 446608 538858 640144 631738 329920 > 4151 [i]