Best Known (15, 53, s)-Nets in Base 49
(15, 53, 65)-Net over F49 — Constructive and digital
Digital (15, 53, 65)-net over F49, using
- net from sequence [i] based on digital (15, 64)-sequence over F49, using
(15, 53, 92)-Net over F49 — Digital
Digital (15, 53, 92)-net over F49, using
- t-expansion [i] based on digital (3, 53, 92)-net over F49, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
(15, 53, 8555)-Net in Base 49 — Upper bound on s
There is no (15, 53, 8556)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 380792 259969 208582 242139 999787 654989 684747 945835 669826 688239 323687 306083 895839 681375 357633 > 4953 [i]