Best Known (48−35, 48, s)-Nets in Base 49
(48−35, 48, 63)-Net over F49 — Constructive and digital
Digital (13, 48, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(48−35, 48, 92)-Net over F49 — Digital
Digital (13, 48, 92)-net over F49, using
- t-expansion [i] based on digital (3, 48, 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
(48−35, 48, 7032)-Net in Base 49 — Upper bound on s
There is no (13, 48, 7033)-net in base 49, because
- 1 times m-reduction [i] would yield (13, 47, 7033)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 27 554054 736227 118258 931804 973568 045781 102586 778676 690528 300867 030507 039877 462449 > 4947 [i]