Best Known (160−90, 160, s)-Nets in Base 8
(160−90, 160, 113)-Net over F8 — Constructive and digital
Digital (70, 160, 113)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (11, 56, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- digital (14, 104, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- digital (11, 56, 48)-net over F8, using
(160−90, 160, 161)-Net over F8 — Digital
Digital (70, 160, 161)-net over F8, using
(160−90, 160, 162)-Net in Base 8
(70, 160, 162)-net in base 8, using
- base change [i] based on digital (30, 120, 162)-net over F16, using
- net from sequence [i] based on digital (30, 161)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 30 and N(F) ≥ 162, using
- net from sequence [i] based on digital (30, 161)-sequence over F16, using
(160−90, 160, 4064)-Net in Base 8 — Upper bound on s
There is no (70, 160, 4065)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 3 127797 605721 149178 143654 102861 511848 394153 031291 305682 536765 115620 288242 318863 354707 378016 939580 483204 151363 234358 926015 273790 751204 497631 372608 > 8160 [i]