Best Known (22, 52, s)-Nets in Base 49
(22, 52, 344)-Net over F49 — Constructive and digital
Digital (22, 52, 344)-net over F49, using
- t-expansion [i] based on digital (21, 52, 344)-net over F49, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
(22, 52, 96791)-Net in Base 49 — Upper bound on s
There is no (22, 52, 96792)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 7766 100989 495981 550332 558573 947763 416909 169904 016094 142401 699262 621650 765136 738955 710337 > 4952 [i]