Best Known (50−35, 50, s)-Nets in Base 49
(50−35, 50, 65)-Net over F49 — Constructive and digital
Digital (15, 50, 65)-net over F49, using
- net from sequence [i] based on digital (15, 64)-sequence over F49, using
(50−35, 50, 92)-Net over F49 — Digital
Digital (15, 50, 92)-net over F49, using
- t-expansion [i] based on digital (3, 50, 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
(50−35, 50, 11120)-Net in Base 49 — Upper bound on s
There is no (15, 50, 11121)-net in base 49, because
- 1 times m-reduction [i] would yield (15, 49, 11121)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 66072 540366 726138 295255 259933 365432 888198 685205 456240 106258 732789 621724 544186 581041 > 4949 [i]