Best Known (13, 52, s)-Nets in Base 49
(13, 52, 63)-Net over F49 — Constructive and digital
Digital (13, 52, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(13, 52, 92)-Net over F49 — Digital
Digital (13, 52, 92)-net over F49, using
- t-expansion [i] based on digital (3, 52, 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
(13, 52, 5676)-Net in Base 49 — Upper bound on s
There is no (13, 52, 5677)-net in base 49, because
- 1 times m-reduction [i] would yield (13, 51, 5677)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 158 631271 042786 564876 983706 266582 596693 539606 862998 844473 411275 020970 534669 906681 360721 > 4951 [i]