Best Known (61−28, 61, s)-Nets in Base 16
(61−28, 61, 518)-Net over F16 — Constructive and digital
Digital (33, 61, 518)-net over F16, using
- 1 times m-reduction [i] based on digital (33, 62, 518)-net over F16, using
- trace code for nets [i] based on digital (2, 31, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- trace code for nets [i] based on digital (2, 31, 259)-net over F256, using
(61−28, 61, 642)-Net over F16 — Digital
Digital (33, 61, 642)-net over F16, using
- 1 times m-reduction [i] based on digital (33, 62, 642)-net over F16, using
- trace code for nets [i] based on digital (2, 31, 321)-net over F256, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- trace code for nets [i] based on digital (2, 31, 321)-net over F256, using
(61−28, 61, 71095)-Net in Base 16 — Upper bound on s
There is no (33, 61, 71096)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 28 270745 571319 067757 662407 091842 738479 771945 041561 795432 942981 207462 648386 > 1661 [i]