Best Known (49−36, 49, s)-Nets in Base 49
(49−36, 49, 63)-Net over F49 — Constructive and digital
Digital (13, 49, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(49−36, 49, 92)-Net over F49 — Digital
Digital (13, 49, 92)-net over F49, using
- t-expansion [i] based on digital (3, 49, 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
(49−36, 49, 6271)-Net in Base 49 — Upper bound on s
There is no (13, 49, 6272)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 66124 232878 169324 196232 667559 941638 869806 007777 459524 964388 038434 384841 178560 786433 > 4949 [i]