Best Known (32−24, 32, s)-Nets in Base 49
(32−24, 32, 58)-Net over F49 — Constructive and digital
Digital (8, 32, 58)-net over F49, using
- net from sequence [i] based on digital (8, 57)-sequence over F49, using
(32−24, 32, 92)-Net over F49 — Digital
Digital (8, 32, 92)-net over F49, using
- t-expansion [i] based on digital (3, 32, 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
(32−24, 32, 3536)-Net in Base 49 — Upper bound on s
There is no (8, 32, 3537)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 1 220789 846690 894547 122027 261437 236693 812909 276298 844225 > 4932 [i]