Best Known (52−40, 52, s)-Nets in Base 49
(52−40, 52, 62)-Net over F49 — Constructive and digital
Digital (12, 52, 62)-net over F49, using
- net from sequence [i] based on digital (12, 61)-sequence over F49, using
(52−40, 52, 92)-Net over F49 — Digital
Digital (12, 52, 92)-net over F49, using
- t-expansion [i] based on digital (3, 52, 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
(52−40, 52, 4281)-Net in Base 49 — Upper bound on s
There is no (12, 52, 4282)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 7793 203341 645190 271560 230023 569178 220777 447658 130894 241317 635729 671066 712713 944314 489729 > 4952 [i]