Best Known (82, 82+64, s)-Nets in Base 5
(82, 82+64, 208)-Net over F5 — Constructive and digital
Digital (82, 146, 208)-net over F5, using
- trace code for nets [i] based on digital (9, 73, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
(82, 82+64, 224)-Net over F5 — Digital
Digital (82, 146, 224)-net over F5, using
(82, 82+64, 4918)-Net in Base 5 — Upper bound on s
There is no (82, 146, 4919)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1 127014 505837 787157 725230 693358 432596 033889 377593 904745 862837 485574 582819 681719 971289 713264 515011 659649 > 5146 [i]