Best Known (33, 67, s)-Nets in Base 16
(33, 67, 257)-Net over F16 — Constructive and digital
Digital (33, 67, 257)-net over F16, using
- base reduction for projective spaces (embedding PG(33,256) in PG(66,16)) for nets [i] based on digital (0, 34, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
(33, 67, 26628)-Net in Base 16 — Upper bound on s
There is no (33, 67, 26629)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 474 293383 201795 138268 924020 605190 073005 945629 151844 543783 619730 216562 989192 208896 > 1667 [i]