Best Known (32−25, 32, s)-Nets in Base 49
(32−25, 32, 57)-Net over F49 — Constructive and digital
Digital (7, 32, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(32−25, 32, 92)-Net over F49 — Digital
Digital (7, 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
(32−25, 32, 2555)-Net in Base 49 — Upper bound on s
There is no (7, 32, 2556)-net in base 49, because
- 1 times m-reduction [i] would yield (7, 31, 2556)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 24945 543933 001876 946007 334539 262052 724642 385043 153665 > 4931 [i]