Best Known (120−59, 120, s)-Nets in Base 8
(120−59, 120, 160)-Net over F8 — Constructive and digital
Digital (61, 120, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 60, 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
(120−59, 120, 217)-Net over F8 — Digital
Digital (61, 120, 217)-net over F8, using
(120−59, 120, 8450)-Net in Base 8 — Upper bound on s
There is no (61, 120, 8451)-net in base 8, because
- 1 times m-reduction [i] would yield (61, 119, 8451)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 294192 007788 545567 351910 678381 305082 561494 400904 767302 865392 835197 818739 053277 826762 298974 104684 766368 814464 > 8119 [i]