Best Known (13, 55, s)-Nets in Base 49
(13, 55, 63)-Net over F49 — Constructive and digital
Digital (13, 55, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(13, 55, 92)-Net over F49 — Digital
Digital (13, 55, 92)-net over F49, using
- t-expansion [i] based on digital (3, 55, 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
(13, 55, 4819)-Net in Base 49 — Upper bound on s
There is no (13, 55, 4820)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 915 016606 422748 915620 786018 759224 801534 927539 334691 884878 279469 839898 580328 300809 482708 829889 > 4955 [i]