Best Known (119, 119+56, s)-Nets in Base 4
(119, 119+56, 240)-Net over F4 — Constructive and digital
Digital (119, 175, 240)-net over F4, using
- 2 times m-reduction [i] based on digital (119, 177, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 59, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- trace code for nets [i] based on digital (1, 59, 80)-net over F64, using
(119, 119+56, 572)-Net over F4 — Digital
Digital (119, 175, 572)-net over F4, using
(119, 119+56, 21792)-Net in Base 4 — Upper bound on s
There is no (119, 175, 21793)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2295 407436 739849 929280 605565 172777 366933 040885 677833 887772 552358 223806 487848 650930 632769 600326 333119 224120 > 4175 [i]