Best Known (6, 6+42, s)-Nets in Base 49
(6, 6+42, 56)-Net over F49 — Constructive and digital
Digital (6, 48, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(6, 6+42, 92)-Net over F49 — Digital
Digital (6, 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
(6, 6+42, 1309)-Net in Base 49 — Upper bound on s
There is no (6, 48, 1310)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 1357 306003 506726 739261 375145 427268 446496 272725 233230 947142 701006 439569 663691 728929 > 4948 [i]