Best Known (140−60, 140, s)-Nets in Base 5
(140−60, 140, 252)-Net over F5 — Constructive and digital
Digital (80, 140, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 70, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(140−60, 140, 5480)-Net in Base 5 — Upper bound on s
There is no (80, 140, 5481)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 71 787791 993188 176466 569589 632699 003081 142629 478604 452201 323368 718395 538570 941175 145763 676089 903529 > 5140 [i]