Best Known (64, 108, s)-Nets in Base 5
(64, 108, 252)-Net over F5 — Constructive and digital
Digital (64, 108, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 54, 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
(64, 108, 6094)-Net in Base 5 — Upper bound on s
There is no (64, 108, 6095)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 3083 187032 252128 934868 767958 618133 126395 461832 129634 575825 485171 717823 862185 > 5108 [i]