Best Known (138−60, 138, s)-Nets in Base 5
(138−60, 138, 208)-Net over F5 — Constructive and digital
Digital (78, 138, 208)-net over F5, using
- trace code for nets [i] based on digital (9, 69, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
(138−60, 138, 220)-Net over F5 — Digital
Digital (78, 138, 220)-net over F5, using
(138−60, 138, 4921)-Net in Base 5 — Upper bound on s
There is no (78, 138, 4922)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 2 886697 699847 760835 848525 469697 883562 532613 446376 511886 178133 299138 017532 987897 520335 056402 270209 > 5138 [i]