Best Known (91−46, 91, s)-Nets in Base 16
(91−46, 91, 257)-Net over F16 — Constructive and digital
Digital (45, 91, 257)-net over F16, using
- base reduction for projective spaces (embedding PG(45,256) in PG(90,16)) for nets [i] based on digital (0, 46, 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
(91−46, 91, 315)-Net over F16 — Digital
Digital (45, 91, 315)-net over F16, using
(91−46, 91, 36504)-Net in Base 16 — Upper bound on s
There is no (45, 91, 36505)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 37 595617 348318 162661 837558 927593 774266 553494 064768 584349 357879 973601 872070 072111 555868 018953 759121 122150 159976 > 1691 [i]